compound inequalities - integers · 107) p 12 ≥ 0 or 11p ≤ −121 −14 −12 −10 −8 −6...
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![Page 1: Compound inequalities - Integers · 107) p 12 ≥ 0 or 11p ≤ −121 −14 −12 −10 −8 −6 −4 −2 0 2 108) 0 ≥ x 10 > −1 −12 −10 −8 −6 −4 −2 0 109) m](https://reader034.vdocuments.us/reader034/viewer/2022051510/5ffb9465e0cd2c780a1b36a4/html5/thumbnails/1.jpg)
![Page 2: Compound inequalities - Integers · 107) p 12 ≥ 0 or 11p ≤ −121 −14 −12 −10 −8 −6 −4 −2 0 2 108) 0 ≥ x 10 > −1 −12 −10 −8 −6 −4 −2 0 109) m](https://reader034.vdocuments.us/reader034/viewer/2022051510/5ffb9465e0cd2c780a1b36a4/html5/thumbnails/2.jpg)
7) −6 ≤ −6m ≤ 18
−4 −3 −2 −1 0 1 2
8) −5v ≤ −10 and v
4 < 1
0 1 2 3 4 5
9) n − 5 > −4 and n − 3 ≤ −1
−1 0 1 2 3
10) b
2 < 1 or −3 + b > 1
−1 0 1 2 3 4 5 6 7
11) −5x ≤ 0 or x − 1 ≤ −2
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5
12) −7 ≤ n − 6 < 0
−2 −1 0 1 2 3 4 5 6 7
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![Page 3: Compound inequalities - Integers · 107) p 12 ≥ 0 or 11p ≤ −121 −14 −12 −10 −8 −6 −4 −2 0 2 108) 0 ≥ x 10 > −1 −12 −10 −8 −6 −4 −2 0 109) m](https://reader034.vdocuments.us/reader034/viewer/2022051510/5ffb9465e0cd2c780a1b36a4/html5/thumbnails/3.jpg)
13) 4 + k < 9 and k
3 ≥ −2
−7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8
14) a − 3 ≤ 0 or a
2 ≥ 2
−1 0 1 2 3 4 5 6 7 8 9
15) x
5 ≤ 0 or
x
6 ≥ 1
−5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9 10
16) −10 < x − 5 < −9
−6 −5 −4 −3
17) −2 < n
3 ≤ −1
−9 −8 −7 −6 −5 −4 −3 −2 −1 0
18) p − 5 ≤ −4 and −2p < 0
−3 −2 −1 0 1 2 3
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![Page 4: Compound inequalities - Integers · 107) p 12 ≥ 0 or 11p ≤ −121 −14 −12 −10 −8 −6 −4 −2 0 2 108) 0 ≥ x 10 > −1 −12 −10 −8 −6 −4 −2 0 109) m](https://reader034.vdocuments.us/reader034/viewer/2022051510/5ffb9465e0cd2c780a1b36a4/html5/thumbnails/4.jpg)
19) m + 1 ≤ 4 or m
5 > 1
0 1 2 3 4 5 6 7 8 9 10
20) n
6 < −1 or 2 + n ≥ −1
−11 −10 −9 −8 −7 −6 −5 −4 −3 −2 −1 0
21) 5r > 30 or 6 + r ≤ 8
−3 −2 −1 0 1 2 3 4 5 6 7 8 9
22) −3 + x < −5 or x
5 > 1
−5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8
23) 3x ≤ 6 and x
4 > 0
−1 0 1 2 3 4 5
24) −10 ≤ −2b < 0
−3 −2 −1 0 1 2 3 4 5 6 7 8
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![Page 5: Compound inequalities - Integers · 107) p 12 ≥ 0 or 11p ≤ −121 −14 −12 −10 −8 −6 −4 −2 0 2 108) 0 ≥ x 10 > −1 −12 −10 −8 −6 −4 −2 0 109) m](https://reader034.vdocuments.us/reader034/viewer/2022051510/5ffb9465e0cd2c780a1b36a4/html5/thumbnails/5.jpg)
25) −4 + n ≤ −4 or n
4 ≥ 1
−3 −2 −1 0 1 2 3 4 5 6 7 8 9
26) 1 > a
4 > −1
−5 −4 −3 −2 −1 0 1 2 3 4 5 6
27) x
4 < 0 and x + 5 ≥ 1
−7 −6 −5 −4 −3 −2 −1 0 1
28) 4x ≤ −24 or −5x < −5
−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
29) a + 3 ≤ 4 and −2a ≤ 8
−6 −5 −4 −3 −2 −1 0 1 2 3
30) −8 ≤ 2v ≤ −2
−5 −4 −3 −2 −1 0 1 2
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![Page 6: Compound inequalities - Integers · 107) p 12 ≥ 0 or 11p ≤ −121 −14 −12 −10 −8 −6 −4 −2 0 2 108) 0 ≥ x 10 > −1 −12 −10 −8 −6 −4 −2 0 109) m](https://reader034.vdocuments.us/reader034/viewer/2022051510/5ffb9465e0cd2c780a1b36a4/html5/thumbnails/6.jpg)
31) 2 + k > −1 and k
3 ≤ 0
−6 −5 −4 −3 −2 −1 0 1 2 3
32) x
3 > 0 or −1 + x < −7
−10 −8 −6 −4 −2 0 2 4
33) −5 ≥ −5n ≥ −25
−1 0 1 2 3 4 5 6 7 8
34) 6 + p > 11 or 3p ≤ 9
−1 0 1 2 3 4 5 6 7 8 9
35) −5m > 10 or 5m ≥ 0
−6 −5 −4 −3 −2 −1 0 1 2 3 4
36) 2 ≤ x + 4 ≤ 6
−4 −3 −2 −1 0 1 2 3 4
37) b + 2 ≤ 8 and −3b < −15
3 4 5 6 7 8
38) r + 6 ≤ 2 or −6r ≤ −24
−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8
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![Page 7: Compound inequalities - Integers · 107) p 12 ≥ 0 or 11p ≤ −121 −14 −12 −10 −8 −6 −4 −2 0 2 108) 0 ≥ x 10 > −1 −12 −10 −8 −6 −4 −2 0 109) m](https://reader034.vdocuments.us/reader034/viewer/2022051510/5ffb9465e0cd2c780a1b36a4/html5/thumbnails/7.jpg)
39) −5v ≤ −5 or v
2 < −2
−7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
40) 5x ≤ 30 and −4x ≤ −20
4 5 6 7 8
41) −3 + n ≥ 1 or −2n > 8
−7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9
42) 5 + n ≤ 8 and −3n ≤ 6
−5 −4 −3 −2 −1 0 1 2 3 4
43) −7 < −1 + k ≤ 1
−7 −6 −5 −4 −3 −2 −1 0 1 2 3
44) a − 4 > −3 or a + 1 < 0
−5 −4 −3 −2 −1 0 1 2 3 4
45) x
5 > −1 and x − 4 < −8
−6 −5 −4 −3 −2
46) x
6 > 1 or
x
2 < −3
−10 −8 −6 −4 −2 0 2 4 6 8 10
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![Page 8: Compound inequalities - Integers · 107) p 12 ≥ 0 or 11p ≤ −121 −14 −12 −10 −8 −6 −4 −2 0 2 108) 0 ≥ x 10 > −1 −12 −10 −8 −6 −4 −2 0 109) m](https://reader034.vdocuments.us/reader034/viewer/2022051510/5ffb9465e0cd2c780a1b36a4/html5/thumbnails/8.jpg)
47) 4 > −1 + p ≥ −3
−4 −3 −2 −1 0 1 2 3 4 5 6
48) m − 3 ≤ 0 or m − 5 > −1
−1 0 1 2 3 4 5 6 7 8
49) n + 3 > 8 or n − 5 < −7
−7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9 10
50) n
4 ≤ 1 and n + 1 ≥ −2
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5
51) x
6 ≤ −1 or x − 4 > −4
−10 −8 −6 −4 −2 0 2 4
52) r − 6 ≤ −8 and r
5 ≥ −1
−7 −6 −5 −4 −3 −2 −1
53) −4b ≥ 12 or b − 3 > 2
−7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8
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![Page 9: Compound inequalities - Integers · 107) p 12 ≥ 0 or 11p ≤ −121 −14 −12 −10 −8 −6 −4 −2 0 2 108) 0 ≥ x 10 > −1 −12 −10 −8 −6 −4 −2 0 109) m](https://reader034.vdocuments.us/reader034/viewer/2022051510/5ffb9465e0cd2c780a1b36a4/html5/thumbnails/9.jpg)
54) 0 < x
5 < 1
−2 −1 0 1 2 3 4 5 6 7
55) n − 6 > 0 or n
2 ≤ −2
−8 −6 −4 −2 0 2 4 6 8 10
56) 3v < −6 or −4v ≤ 4
−5 −4 −3 −2 −1 0 1 2 3
57) −6 > a − 6 ≥ −12
−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1
58) 4x < 12 and x
4 > −1
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
59) −1 + a ≤ −5 or a − 6 ≥ −8
−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3
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![Page 10: Compound inequalities - Integers · 107) p 12 ≥ 0 or 11p ≤ −121 −14 −12 −10 −8 −6 −4 −2 0 2 108) 0 ≥ x 10 > −1 −12 −10 −8 −6 −4 −2 0 109) m](https://reader034.vdocuments.us/reader034/viewer/2022051510/5ffb9465e0cd2c780a1b36a4/html5/thumbnails/10.jpg)
60) p
2 ≥ 2 or p + 1 ≤ −4
−10 −8 −6 −4 −2 0 2 4 6 8
61) x − 6 ≥ −7 or −2 + x < −6
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2
62) k − 3 < 2 and k + 6 > 0
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7
63) 6n ≥ −30 or n − 5 < −11
−9 −8 −7 −6 −5 −4 −3 −2 −1 0
64) −6x ≥ 18 or −3 + x > −3
−7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
65) n
2 ≤ 3 and
n
3 > 0
−1 0 1 2 3 4 5 6 7 8
66) 4 ≤ m + 5 < 5
−3 −2 −1 0 1 2 3
67) x − 4 > −3 or −2 + x < −8
−10 −8 −6 −4 −2 0 2 4 6
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68) 4b < −8 and b − 6 > −12
−7 −6 −5 −4 −3 −2 −1 0 1
69) 4v < −16 or v + 1 ≥ −1
−8 −7 −6 −5 −4 −3 −2 −1 0 1
70) n − 5 ≥ −7 or n
4 < −1
−7 −6 −5 −4 −3 −2 −1 0 1
71) 1 > x
6 ≥ 0
−2 −1 0 1 2 3 4 5 6 7
72) a + 4 ≤ 6 and a − 1 ≥ −5
−7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
73) k
6 ≥ 1 or
k
3 ≤ −2
−8 −6 −4 −2 0 2 4 6 8 10
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![Page 12: Compound inequalities - Integers · 107) p 12 ≥ 0 or 11p ≤ −121 −14 −12 −10 −8 −6 −4 −2 0 2 108) 0 ≥ x 10 > −1 −12 −10 −8 −6 −4 −2 0 109) m](https://reader034.vdocuments.us/reader034/viewer/2022051510/5ffb9465e0cd2c780a1b36a4/html5/thumbnails/12.jpg)
74) 3x ≤ 6 or x
2 > 3
−3 −2 −1 0 1 2 3 4 5 6 7 8 9 10 11
75) n − 1 > −1 or n
4 < −1
−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4
76) −1 ≤ x
5 < 0
−6 −5 −4 −3 −2 −1 0 1 2
77) 2 < m + 4 < 5
−5 −4 −3 −2 −1 0 1 2
78) p
5 < −1 or
p
4 ≥ −1
−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1
79) 4x ≥ 8 and x + 2 ≤ 5
−1 0 1 2 3 4 5 6
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80) −5n > 20 or n + 1 ≥ 6
−8 −6 −4 −2 0 2 4 6 8 10
81) 1 < n
3 < 2
0 1 2 3 4 5 6 7
82) −5r ≤ 5 and r
2 < 1
−3 −2 −1 0 1 2 3
83) b − 3 > −6 or −5b ≥ 30
−11 −10 −9 −8 −7 −6 −5 −4 −3 −2 −1 0
84) 3 + x ≥ 8 or x
6 ≤ −1
−10 −8 −6 −4 −2 0 2 4 6 8
85) 4 > v + 5 > −1
−7 −6 −5 −4 −3 −2 −1 0
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![Page 14: Compound inequalities - Integers · 107) p 12 ≥ 0 or 11p ≤ −121 −14 −12 −10 −8 −6 −4 −2 0 2 108) 0 ≥ x 10 > −1 −12 −10 −8 −6 −4 −2 0 109) m](https://reader034.vdocuments.us/reader034/viewer/2022051510/5ffb9465e0cd2c780a1b36a4/html5/thumbnails/14.jpg)
86) 4a ≥ 20 or a
2 ≤ 1
−2 −1 0 1 2 3 4 5 6 7 8
87) 1 + n > −3 and −4n > −24
−5 −4 −3 −2 −1 0 1 2 3 4 5 6 7
88) −5 ≤ −4 + x ≤ −1
−4 −3 −2 −1 0 1 2 3 4 5 6
89) x + 3 > 9 or −6x ≥ 30
−8 −6 −4 −2 0 2 4 6 8 10
90) −10 ≤ −4 + p < 2
−8 −6 −4 −2 0 2 4 6 8
91) n + 4 ≤ −1 or 4n ≥ −12
−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2
92) −5x > 15 or −4x < −20
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8
93) m + 4 < 5 and m
4 > −1
−6 −5 −4 −3 −2 −1 0 1 2
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94) −3 < x − 2 < 4
−4 −3 −2 −1 0 1 2 3 4 5 6 7 8
95) k + 2 ≤ −4 or k
5 ≥ 0
−10 −8 −6 −4 −2 0 2 4
96) 5 < 5b ≤ 15
−2 −1 0 1 2 3 4 5
97) −6 + r ≤ −8 or −6r < −6
−7 −6 −5 −4 −3 −2 −1 0 1 2 3 4
98) −1 ≤ v
6 < 1
−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8
99) −3n ≥ 15 or −3n ≤ 6
−10 −9 −8 −7 −6 −5 −4 −3 −2 −1 0 1
100) x + 6 < 6 or x + 5 > 6
−3 −2 −1 0 1 2 3 4 5
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101) n
6 < 2 and n − 4 ≥ −14
−8 −4 0 4 8 12
102) 16 ≥ a + 7 > 4
−4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9 10
103) −6k < −72 or k
11 ≤ 0
−4 −2 0 2 4 6 8 10 12 14 16
104) x − 5 ≤ −14 or x + 7 > 7
−12 −10 −8 −6 −4 −2 0 2 4
105) 9p < 0 or p
6 > 1
−3 −2 −1 0 1 2 3 4 5 6 7 8 9 10
106) −17 ≤ n − 12 ≤ −14
−6 −5 −4 −3 −2 −1
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107) p
12 ≥ 0 or 11p ≤ −121
−14 −12 −10 −8 −6 −4 −2 0 2
108) 0 ≥ x
10 > −1
−12 −10 −8 −6 −4 −2 0
109) m
9 ≥ 0 or
m
10 < −1
−14 −12 −10 −8 −6 −4 −2 0 2
110) r − 4 > −4 or r − 8 ≤ −13
−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3
111) b + 6 ≥ −6 and b − 7 ≤ 3
−12 −8 −4 0 4 8
112) −19 < x − 11 ≤ −11
−10 −9 −8 −7 −6 −5 −4 −3 −2 −1 0 1
113) 30 ≤ 6n < 72
3 4 5 6 7 8 9 10 11 12 13 14
114) n − 10 ≥ −6 or n − 3 < −7
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9
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115) a
3 ≥ 2 or a − 9 < −16
−10 −8 −6 −4 −2 0 2 4 6 8
116) v − 9 ≤ 1 and v + 11 > 3
−10 −8 −6 −4 −2 0 2 4 6 8 10 12
117) x − 1 ≥ 5 or x − 7 ≤ −9
−5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9
118) −12 ≤ x − 6 < −4
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
119) n
12 ≥ 1 or −7 + n < −10
−6 −4 −2 0 2 4 6 8 10 12 14 16
120) p − 1 > −4 and 6p ≤ −12
−4 −3 −2 −1 0
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121) k
2 ≥ 3 or −9 + k < −4
2 3 4 5 6 7 8 9 10
122) m − 1 < −11 or 8 + m ≥ 8
−14 −12 −10 −8 −6 −4 −2 0 2 4
123) x
9 > 0 and
x
6 ≤ 2
−2 −1 0 1 2 3 4 5 6 7 8 9 10 11 12 13
124) n
4 > −2 and 11n ≤ −77
−11 −10 −9 −8 −7 −6 −5 −4
125) x + 12 ≤ 7 or 3 + x ≥ 4
−10 −8 −6 −4 −2 0 2 4
126) −7n > 0 or n + 2 ≥ 14
−4 −2 0 2 4 6 8 10 12 14 16
127) −2 ≥ r − 12 > −9
0 1 2 3 4 5 6 7 8 9 10 11 12
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128) −4 ≤ b
2 < −1
−10 −9 −8 −7 −6 −5 −4 −3 −2 −1 0 1
129) 4 + v ≤ 1 or v
7 > 0
−6 −5 −4 −3 −2 −1 0 1 2 3
130) 15 ≤ x + 12 ≤ 17
2 3 4 5 6
131) 5a ≥ 60 or a
7 < 0
−4 −2 0 2 4 6 8 10 12 14
132) n
10 ≥ 0 or −2 + n < −13
−14 −12 −10 −8 −6 −4 −2 0 2
133) p + 9 > 20 or p
4 < 1
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
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134) k − 3 > −8 and k
12 ≤ 0
−6 −5 −4 −3 −2 −1 0 1
135) m
10 ≤ 1 and −5 + m > −1
3 4 5 6 7 8 9 10 11
136) −72 < −6n < −48
5 6 7 8 9 10 11 12 13
137) 5 + x < 13 or x
6 > 2
5 6 7 8 9 10 11 12 13 14 15 16 17
138) 15 ≥ n + 6 > 2
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9 10 11
139) 6 p > −36 or p − 5 ≤ −16
−14 −12 −10 −8 −6 −4 −2
140) −4x > −28 or x + 7 ≥ 17
2 3 4 5 6 7 8 9 10 11 12 13 14 15
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141) 7 + b ≤ −5 or b
7 > 0
−16 −14 −12 −10 −8 −6 −4 −2 0 2 4
142) 7n ≤ −42 or 9n ≥ −27
−9 −8 −7 −6 −5 −4 −3 −2 −1 0
143) x
2 ≤ 4 and
x
3 ≥ −4
−12 −8 −4 0 4 8
144) r
4 ≥ 1 or 8r ≤ −56
−10 −8 −6 −4 −2 0 2 4 6 8
145) 5 + a ≥ 6 and −9 + a < −4
−1 0 1 2 3 4 5 6 7
146) v − 12 > −11 or 4v < −32
−10 −8 −6 −4 −2 0 2 4
147) 11 + x ≥ 4 and −2 + x < −7
−9 −8 −7 −6 −5 −4 −3 −2
148) −10 ≤ k + 1 < 12
−12 −8 −4 0 4 8 12
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149) n
12 < −1 or 12 + n ≥ 10
−16 −14 −12 −10 −8 −6 −4 −2 0 2
150) −17 < x − 8 < −14
−12 −11 −10 −9 −8 −7 −6 −5 −4 −3
151) −4 ≥ x − 12 > −8
2 3 4 5 6 7 8 9 10
152) p + 1 > 9 or −11p ≥ −77
4 5 6 7 8 9 10 11
153) 10 + n ≥ 14 or −7n ≥ 7
−4 −3 −2 −1 0 1 2 3 4 5 6 7 8
154) 10x ≥ 70 or x + 6 < 11
0 1 2 3 4 5 6 7 8 9 10 11
155) m
3 ≥ 4 or 4m ≤ −28
−12 −8 −4 0 4 8 12 16
156) b − 10 > −18 or 4b ≤ −40
−14 −13 −12 −11 −10 −9 −8 −7 −6 −5 −4
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157) −6 + v < 6 and v − 8 ≥ 0
7 8 9 10 11 12 13 14 15
158) −1 ≤ n
5 < 0
−7 −6 −5 −4 −3 −2 −1 0 1 2 3
159) −10n > 50 or n
4 ≥ −1
−8 −7 −6 −5 −4 −3 −2 −1 0 1
160) x
5 ≤ 2 and −7 + x ≥ −19
−12 −8 −4 0 4 8
161) 5r ≥ −5 and −2r > −18
−3 −2 −1 0 1 2 3 4 5 6 7 8 9 10 11
162) −9 > a − 7 ≥ −17
−12 −10 −8 −6 −4 −2 0
163) k − 1 ≥ −2 or k + 11 ≤ 1
−14 −12 −10 −8 −6 −4 −2 0 2
164) p − 2 < 7 and p − 3 ≥ −6
−4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9 10 11
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165) x + 6 ≥ 0 or x + 6 < −4
−13 −12 −11 −10 −9 −8 −7 −6 −5 −4 −3 −2
166) −24 ≤ m − 12 < −4
−12 −8 −4 0 4 8
167) 6r ≤ −66 or −4 + r > −2
−14 −12 −10 −8 −6 −4 −2 0 2 4 6
168) n
2 ≤ −4 or n + 4 ≥ −3
−13 −12 −11 −10 −9 −8 −7 −6 −5 −4
169) x − 3 > 7 or x − 2 < −13
−12 −8 −4 0 4 8 12
170) b
4 < 2 and −11 + b > −23
−12 −8 −4 0 4 8
171) −7 < r − 11 < −6
1 2 3 4 5 6 7 8
172) n − 8 > 0 or n − 4 < −12
−12 −8 −4 0 4 8 12
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173) −7x < −7 or 5x < −5
−5 −4 −3 −2 −1 0 1 2 3 4
174) −49 < 7n ≤ 14
−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
175) a − 10 ≤ −6 and 12a > −144
−12 −10 −8 −6 −4 −2 0 2 4 6
176) 72 > 8x > −48
−7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9 10
177) −1 < n
8 ≤ 0
−10 −9 −8 −7 −6 −5 −4 −3 −2 −1 0 1
178) v − 6 ≥ 6 or v − 8 ≤ −17
−12 −8 −4 0 4 8 12 16
179) x
5 ≤ −1 or x + 8 > 16
−8 −6 −4 −2 0 2 4 6 8 10 12
180) p + 1 < 2 or p + 2 ≥ 14
−4 −2 0 2 4 6 8 10 12 14 16
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181) x
4 < 1 and −10x < 0
−1 0 1 2 3 4 5
182) k − 9 ≥ −6 or 8 + k < 6
−7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
183) n
10 < −1 or −11n < 99
−13 −12 −11 −10 −9 −8 −7 −6
184) 11x ≤ 77 and x + 12 ≥ 2
−10 −8 −6 −4 −2 0 2 4 6 8
185) −12 + n ≤ −2 and −9 + n > −12
−4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9 10 11
186) 11 < m + 5 ≤ 14
5 6 7 8 9 10
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187) b − 3 ≥ 0 or b
8 < 0
−5 −4 −3 −2 −1 0 1 2 3 4 5 6 7
188) −4r < −28 or 8r ≤ 24
−2 −1 0 1 2 3 4 5 6 7 8 9 10
189) −12 ≤ −3n ≤ 6
−5 −4 −3 −2 −1 0 1 2 3 4 5 6
190) x
7 ≤ −1 or
x
11 ≥ 1
−12 −8 −4 0 4 8 12
191) −1 < v
11 < 1
−12 −8 −4 0 4 8 12
192) 2 + k < −6 or k
2 > 5
−8 −4 0 4 8 12
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193) a − 12 ≤ −18 or a
11 ≥ 0
−10 −8 −6 −4 −2 0 2 4
194) −6 < p + 1 ≤ 0
−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1
195) x
12 < −1 or 3x > 3
−16 −14 −12 −10 −8 −6 −4 −2 0 2 4
196) r + 11 ≥ 8 and r − 9 ≤ −11
−4 −3 −2 −1 0 1
197) −30 ≤ 3n < 36
−12 −8 −4 0 4 8 12
198) −8m < 88 or m + 8 ≤ −4
−15 −14 −13 −12 −11 −10 −9 −8
199) 36 < −4x ≤ 40
−11 −10 −9 −8 −7
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200) −7 + n ≤ −13 or n
8 ≥ 1
−10 −8 −6 −4 −2 0 2 4 6 8 10
201) x + 7 > −12 and x + 6 < 11
−20 −16 −12 −8 −4 0 4
202) −15r ≥ 300 or r
14 ≥ −1
−24 −22 −20 −18 −16 −14 −12 −10
203) n + 18 > 18 or −4n > 80
−24 −20 −16 −12 −8 −4 0 4
204) −4 ≤ b + 2 ≤ 16
−6 −4 −2 0 2 4 6 8 10 12 14
205) −100 ≤ 10a < 120
−8 −4 0 4 8 12
206) n − 10 ≤ −1 and 12n > 48
1 2 3 4 5 6 7 8 9 10 11
207) −18 ≤ v − 7 < −4
−12 −10 −8 −6 −4 −2 0 2 4 6
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208) x
3 > 1 or x + 9 ≤ 8
−5 −4 −3 −2 −1 0 1 2 3 4 5 6
209) k + 18 ≤ 12 or 11k ≥ 209
−8 −6 −4 −2 0 2 4 6 8 10 12 14 16 18 20 22
210) 19x > −285 and 20x < −220
−16 −15 −14 −13 −12 −11 −10
211) 6 + p ≥ 25 or −14p ≥ −126
4 6 8 10 12 14 16 18 20 22 24
212) n
14 ≥ −1 and 18n < −36
−14 −12 −10 −8 −6 −4 −2 0
213) x
11 ≤ 1 or
x
20 ≥ 1
6 8 10 12 14 16 18 20 22 24
214) −11 ≤ x + 3 < −5
−16 −15 −14 −13 −12 −11 −10 −9 −8 −7 −6 −5
215) r − 9 ≥ −15 or 9r ≤ −126
−16 −14 −12 −10 −8 −6 −4
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216) −14m ≤ −140 or 14m < −196
−16 −12 −8 −4 0 4 8 12
217) 1 < b
9 ≤ 2
8 9 10 11 12 13 14 15 16 17 18 19 20
218) v
13 < −1 or
v
19 ≥ 0
−16 −14 −12 −10 −8 −6 −4 −2 0 2 4
219) n + 6 > 18 or −5n > 90
−20 −16 −12 −8 −4 0 4 8 12 16
220) x + 19 > 12 and x
4 ≤ 4
−8 −6 −4 −2 0 2 4 6 8 10 12 14 16
221) a + 8 ≥ 21 or a + 1 < −1
−6 −4 −2 0 2 4 6 8 10 12 14 16
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222) −324 ≤ 18n ≤ −306
−21 −20 −19 −18 −17 −16
223) 8x > 40 and x − 6 ≤ 3
3 4 5 6 7 8 9 10 11
224) p
11 ≤ −1 or p − 5 ≥ −5
−14 −12 −10 −8 −6 −4 −2 0 2 4
225) 0 < k
11 ≤ 1
−1 0 1 2 3 4 5 6 7 8 9 10 11 12
226) −7 < r + 7 ≤ −5
−17 −16 −15 −14 −13 −12 −11
227) −13n ≤ 0 or n − 14 < −30
−18 −16 −14 −12 −10 −8 −6 −4 −2 0 2
228) 13b > 182 or b
8 < −1
−8 −4 0 4 8 12 16
229) n
2 ≤ 7 and n − 5 ≥ −20
−16 −12 −8 −4 0 4 8 12 16
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230) m − 10 ≥ 3 or m + 3 < 9
2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
231) 7 + x < −3 or x + 11 > 14
−14 −12 −10 −8 −6 −4 −2 0 2 4 6 8
232) −12 + a < −7 and 9 + a > 9
−1 0 1 2 3 4 5 6 7 8
233) n − 7 ≤ −17 or n − 13 ≥ 6
−12 −8 −4 0 4 8 12 16 20 24
234) −1 ≤ x
7 ≤ 1
−10 −8 −6 −4 −2 0 2 4 6 8
235) x − 14 ≤ 0 and x + 20 ≥ 7
−12 −8 −4 0 4 8 12 16
236) −4x ≤ 44 or −18 + x ≤ −37
−22 −20 −18 −16 −14 −12 −10 −8
237) 4 < v
3 ≤ 5
9 10 11 12 13 14 15 16 17 18
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238) n − 11 > −11 or n − 15 ≤ −29
−18 −16 −14 −12 −10 −8 −6 −4 −2 0 2
239) v
10 ≤ 1 or v − 8 > 12
8 10 12 14 16 18 20 22 24
240) k + 17 < 20 and k + 17 > 5
−12 −10 −8 −6 −4 −2 0 2 4
241) 4 < 4n < 36
−1 0 1 2 3 4 5 6 7 8 9 10 11
242) x
9 < −2 or −5 + x ≥ 2
−20 −16 −12 −8 −4 0 4 8
243) p + 17 > 25 or p + 18 ≤ 0
−20 −16 −12 −8 −4 0 4 8
244) 16 ≤ m + 20 < 22
−6 −5 −4 −3 −2 −1 0 1 2 3 4
245) −6 + x ≥ 3 or x + 16 ≤ 15
−6 −4 −2 0 2 4 6 8 10 12
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246) 9r ≥ −144 and r − 1 ≤ 7
−16 −12 −8 −4 0 4 8
247) n
9 ≥ −1 and n − 13 ≤ 2
−12 −8 −4 0 4 8 12 16
248) b + 18 ≤ 17 and b − 8 ≥ −26
−18 −16 −14 −12 −10 −8 −6 −4 −2 0 2
249) 15v ≤ −270 or v
20 ≥ 1
−20 −15 −10 −5 0 5 10 15 20 25
250) −29 < x − 11 ≤ 3
−20 −16 −12 −8 −4 0 4 8 12 16
251) k
18 > 0 or −3k > 54
−20 −16 −12 −8 −4 0
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252) a + 17 < 34 and 20a ≥ −220
−12 −8 −4 0 4 8 12 16 20
253) n + 20 > 39 or n
15 < 1
11 12 13 14 15 16 17 18 19 20 21 22 23 24
254) n + 2 > 21 or n
13 < 0
−2 0 2 4 6 8 10 12 14 16 18 20 22
255) 3 + m ≥ −14 and −6m ≥ 18
−20 −18 −16 −14 −12 −10 −8 −6 −4 −2
256) p
3 < −5 or −15 p ≤ 210
−18 −17 −16 −15 −14 −13 −12 −11
257) −2 ≤ x
7 < −1
−15 −14 −13 −12 −11 −10 −9 −8 −7 −6 −5
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258) −4 ≤ n − 14 ≤ −2
7 8 9 10 11 12 13
259) −15x ≥ −165 and x
20 ≥ −1
−20 −16 −12 −8 −4 0 4 8 12
260) −5 + r ≤ −18 or r
4 > 5
−15 −10 −5 0 5 10 15 20
261) v + 2 ≥ −17 and v
9 < 1
−20 −16 −12 −8 −4 0 4 8 12
262) 16b ≤ 64 or −19b < −114
0 1 2 3 4 5 6 7 8 9 10 11
263) 20n > −400 and 19n ≤ −114
−22 −20 −18 −16 −14 −12 −10 −8 −6
264) −19 + x < −23 or 3x > 15
−8 −6 −4 −2 0 2 4 6 8 10
265) −247 < 13v ≤ 26
−20 −16 −12 −8 −4 0 4
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266) a
19 < 0 or 14 + a > 24
−2 0 2 4 6 8 10 12 14
267) −17x < −221 and −15x > −210
11 12 13 14 15
268) x + 1 ≤ −2 or −13x < −39
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8
269) n
6 < 3 and −18n < 288
−16 −12 −8 −4 0 4 8 12 16 20
270) 2x ≤ −6 or 20x > −20
−6 −5 −4 −3 −2 −1 0 1 2
271) −15n ≥ 105 or n + 19 ≥ 31
−12 −8 −4 0 4 8 12 16
272) 5 + k ≥ 10 or −8k ≥ 56
−10 −8 −6 −4 −2 0 2 4 6 8 10
273) −198 < −11 p ≤ 44
−4 −2 0 2 4 6 8 10 12 14 16 18 20
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274) −8 + m ≥ −13 and m + 5 < 2
−8 −7 −6 −5 −4 −3 −2 −1 0
275) −18 + r > −3 or −9r ≥ −9
−2 0 2 4 6 8 10 12 14 16 18
276) −22 < x − 18 ≤ −7
−4 −2 0 2 4 6 8 10 12 14
277) n
20 > 1 or −3 + n ≤ −13
−12 −8 −4 0 4 8 12 16 20
278) v + 14 ≥ 16 and v + 20 ≤ 36
0 2 4 6 8 10 12 14 16 18
279) −5b > −35 and b + 2 ≥ −11
−12 −8 −4 0 4 8
280) −77 < −7x < 126
−16 −12 −8 −4 0 4 8 12
281) −4 ≤ a + 16 < 35
−20 −15 −10 −5 0 5 10 15 20
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282) k
20 ≥ 1 or k + 9 ≤ 11
−2 0 2 4 6 8 10 12 14 16 18 20 22 24
283) x − 18 ≤ −36 or −18 + x ≥ −31
−21 −20 −19 −18 −17 −16 −15 −14 −13 −12 −11 −10
284) n
6 ≤ 0 and n − 18 ≥ −35
−18 −16 −14 −12 −10 −8 −6 −4 −2 0 2
285) x + 15 ≤ −1 or x + 12 ≥ 3
−20 −18 −16 −14 −12 −10 −8 −6
286) m − 17 > −24 or m − 20 < −33
−16 −14 −12 −10 −8 −6 −4
287) 13 p > 0 and p − 13 ≤ 4
0 2 4 6 8 10 12 14 16 18
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288) x
7 ≤ 1 and x − 10 ≥ −18
−10 −8 −6 −4 −2 0 2 4 6 8
289) r
6 > 3 or r − 7 ≤ −26
−20 −15 −10 −5 0 5 10 15 20
290) 3n > 18 or n
14 ≤ −1
−16 −12 −8 −4 0 4 8
291) 9 < b − 2 < 14
10 11 12 13 14 15 16 17 18 19
292) 5 ≤ 3 + x ≤ 6
1 2 3 4 5
293) v − 10 ≤ −17 or v + 18 > 22
−10 −8 −6 −4 −2 0 2 4 6 8
294) 221 ≤ −17n < 340
−21 −20 −19 −18 −17 −16 −15 −14 −13 −12 −11
295) −11a ≤ −220 or 18 + a < 3
−15 −10 −5 0 5 10 15 20
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296) k − 16 < −2 and −10k < 30
−4 −2 0 2 4 6 8 10 12 14 16
297) n − 16 > −5 or n + 8 ≤ 16
4 5 6 7 8 9 10 11 12 13 14 15 16
298) 1 < x + 9 ≤ 5
−9 −8 −7 −6 −5 −4 −3 −2
299) x + 14 ≤ 17 or x + 17 > 29
−1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
300) k
7 > 2 or 10 + k ≤ 9
−4 −2 0 2 4 6 8 10 12 14 16 18
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Solve two-step inequalities and graph the solution:
301) 3x − 3 < −6 or −3x + 3 < −15
−5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9 10
302) − p + 5 < 10 and 2 + 5p < −18
−7 −6 −5 −4 −3 −2
303) −7 < 4n − 3 < 1
−3 −2 −1 0 1 2 3
304) 2 < 4r + 6 ≤ 18
−2 −1 0 1 2 3 4 5 6
305) 4m + 5 ≤ −19 or 6m + 3 > 21
−10 −8 −6 −4 −2 0 2 4 6
306) −5 + 2x ≥ −7 and −3x − 2 ≥ −2
−2 −1 0 1 2 3
307) 3 + 6n ≥ 27 or 6n + 3 ≤ −21
−7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8
308) 2 + 2v > 0 or 2v − 3 ≤ −15
−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4
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309) 1 − 3b < 13 and 4b − 2 ≤ 22
−5 −4 −3 −2 −1 0 1 2 3 4 5 6 7
310) 2 < 2 − 3x ≤ 8
−5 −4 −3 −2 −1 0 1
311) 4x − 6 < −10 or 5x + 4 ≥ 4
−4 −3 −2 −1 0 1 2 3 4 5
312) 6 + 3 p < −6 or 5p + 5 ≥ 15
−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7
313) 3 < k + 5 < 6
−5 −4 −3 −2 −1 0 1 2
314) 5a − 5 < −5 or −4a − 2 ≤ −22
−5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9
315) 7 ≤ 4 − n ≤ 8
−7 −6 −5 −4 −3 −2 −1
316) 5m − 4 ≥ 21 or −3 + 6m ≤ −3
−4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9
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317) 3 + x ≤ 0 or −2 − 2x ≤ −8
−7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
318) −16 ≤ 6b + 2 ≤ −4
−6 −5 −4 −3 −2 −1 0
319) −1 < −1 + 6n < 5
−2 −1 0 1 2 3 4
320) −3x + 1 ≥ 10 or 5 − 2x < 3
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5
321) 2 − r ≥ 6 and 4r − 3 > −23
−7 −6 −5 −4 −3
322) −8 ≤ −a − 3 ≤ −2
−3 −2 −1 0 1 2 3 4 5 6 7
323) 4 + 4x ≥ −16 and 1 + 5x < −4
−6 −5 −4 −3 −2 −1 0
324) 6 − 6x < 12 and −x − 3 ≥ −9
−4 −3 −2 −1 0 1 2 3 4 5 6 7
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325) 6 + 6v < 18 or v + 5 > 9
−1 0 1 2 3 4 5 6 7 8
326) k − 3 > 3 or 6 − k > 8
−6 −4 −2 0 2 4 6 8 10
327) 3 − 2n > 11 or 2n + 1 > 7
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8
328) 4x + 1 > −19 and 6 − 5x ≥ 1
−7 −6 −5 −4 −3 −2 −1 0 1 2 3 4
329) 3 − 6p ≤ 15 or 3 p − 6 < −24
−10 −9 −8 −7 −6 −5 −4 −3 −2 −1 0 1
330) 3k − 4 < −13 and 1 + 6k ≥ −23
−7 −6 −5 −4 −3 −2 −1
331) 4 − 2n ≥ −2 or 2n − 4 > 6
−2 −1 0 1 2 3 4 5 6 7 8 9
332) 0 < 6 − 2x < 6
−3 −2 −1 0 1 2 3 4 5
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333) 5n + 2 > 32 or −6n + 1 > −23
1 2 3 4 5 6 7 8 9
334) 2m − 1 > −9 or 2m + 5 ≤ −7
−9 −8 −7 −6 −5 −4 −3 −2 −1
335) −5x − 5 > 20 or 5 + 2x ≥ 9
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
336) 2 < −4n + 6 < 6
−3 −2 −1 0 1 2
337) 1 + 4v > −19 and 3 − 5v > 23
−7 −6 −5 −4 −3
338) −9 ≤ r − 3 < −1
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
339) 5 − 2x < 13 and 4x − 4 < −4
−6 −5 −4 −3 −2 −1 0 1 2 3
340) 5 + 4b ≥ 17 or −4 + b ≤ −5
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
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341) 5x + 5 ≤ 5 or 6x + 2 ≥ 38
−5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9
342) k − 5 ≥ −6 or −4k + 3 > 27
−10 −8 −6 −4 −2 0 2
343) 8 < 3a + 2 ≤ 11
1 2 3 4
344) 3 < 5m − 2 ≤ 28
−2 −1 0 1 2 3 4 5 6 7
345) −2p + 1 ≤ 11 and 2 + 4p < −6
−7 −6 −5 −4 −3 −2 −1 0 1
346) 3 + 6n < −15 or 5n − 4 ≥ 1
−7 −6 −5 −4 −3 −2 −1 0 1 2 3 4
347) 6x − 2 < −32 or −3x − 1 ≤ −1
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3
348) −2 − 4x < −14 or 5x + 3 ≤ 3
−4 −3 −2 −1 0 1 2 3 4 5 6 7
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349) 2n − 3 ≥ −3 or 3n + 3 ≤ −12
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4
350) 2r + 5 > 3 or 3 − 2r ≥ 11
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3
351) 1 − 5v ≤ 16 and −3v + 6 ≥ 9
−6 −5 −4 −3 −2 −1 0 1 2
352) 3 − 6b > 27 and 4b − 4 ≥ −24
−7 −6 −5 −4 −3
353) 1 − x ≤ −1 or 4 + 3x < −14
−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
354) a − 3 ≥ −8 and 6 + 4a ≤ 30
−7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9
355) −7 < 6n + 5 ≤ 35
−5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8
356) −2k + 5 > 9 or 6k + 4 > 4
−6 −5 −4 −3 −2 −1 0 1 2 3
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357) 10 < 3x + 4 ≤ 13
−1 0 1 2 3 4 5 6
358) 3n − 1 ≥ −19 and −2n + 4 > 10
−8 −7 −6 −5 −4 −3 −2 −1
359) −5x − 6 > 4 or 3x − 3 > 12
−5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9
360) 3 − 4m < −5 or 5m − 2 < −32
−10 −8 −6 −4 −2 0 2 4 6
361) 5x − 3 < 22 and 4x + 3 > −21
−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
362) 11 ≤ 5 − 3m < 20
−8 −7 −6 −5 −4 −3 −2 −1 0
363) 3n − 3 ≤ 9 or 2 − 2n < −10
1 2 3 4 5 6 7 8 9 10
364) −5 p + 5 < 15 or 1 + p ≤ −4
−10 −8 −6 −4 −2 0 2
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365) −5r + 5 ≥ 10 or 6 + 5r ≥ 21
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7
366) 2x − 5 < −9 and 4x + 1 > −19
−6 −5 −4 −3 −2 −1
367) 8 ≤ 2 − 2v < 12
−6 −5 −4 −3 −2
368) 1 − 6n ≤ 25 and 5n + 4 < 29
−7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7
369) 5x − 3 > −28 and 1 − 6x ≥ −17
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
370) 5 − 6x < −19 or 4x − 2 ≤ −6
−5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8
371) 3 − 2b > 11 or 4b + 6 ≥ 10
−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
372) −a + 2 < 3 or 4a − 5 ≤ −29
−10 −8 −6 −4 −2 0 2
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373) −9 ≤ 5p + 1 < 16
−4 −3 −2 −1 0 1 2 3 4 5
374) 1 ≤ 6n − 5 ≤ 31
0 1 2 3 4 5 6 7
375) 4k + 6 ≤ −6 or 5 + 4k ≥ −3
−6 −5 −4 −3 −2 −1 0 1 2
376) 2 + 3x ≤ 5 or 5x + 2 ≥ 32
−4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9 10
377) 3 ≤ 3 − 4x ≤ 15
−6 −5 −4 −3 −2 −1 0 1 2 3
378) 2m − 2 > 8 or 3m + 4 ≤ −2
−7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9
379) 2r − 3 ≥ −9 and 1 + 2r < 13
−4 −3 −2 −1 0 1 2 3 4 5 6 7 8
380) 6n + 5 > 41 or 1 − 5n > 16
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9 10 11
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381) 3b − 6 ≥ −3 and 3 + 5b ≤ 18
−2 −1 0 1 2 3 4 5
382) v + 1 ≥ −4 and 4 − 6v > 16
−7 −6 −5 −4 −3 −2 −1 0 1
383) −2x − 6 < 2 and −5x − 5 > −15
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5
384) 12 ≤ 3k + 3 ≤ 18
2 3 4 5 6
385) 4 − 4n > 20 or 1 + 2n > 9
−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7
386) −3 + 2a ≤ 3 or −2a + 3 < −9
−2 −1 0 1 2 3 4 5 6 7 8 9 10 11
387) −5 − x ≤ −1 and 3x − 1 < 11
−5 −4 −3 −2 −1 0 1 2 3 4 5
388) 6n + 6 > −12 and 2 + n ≤ 1
−5 −4 −3 −2 −1 0
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389) x − 3 ≤ −5 or 4x + 3 > 3
−7 −6 −5 −4 −3 −2 −1 0 1 2 3 4
390) 1 + 3m ≤ −14 or 1 − 4m < 5
−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2
391) −1 ≤ 5 − p < 2
1 2 3 4 5 6 7
392) 5 − 4n ≤ 21 and 3n − 6 ≤ 12
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7
393) 3 − x > 0 or 3 − 3x < −15
0 1 2 3 4 5 6 7 8 9 10 11
394) −b − 6 > −4 or 5b − 4 > 11
−5 −4 −3 −2 −1 0 1 2 3 4 5 6
395) −5r + 4 > 24 or r + 5 > 5
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3
396) 19 < 4 − 5b < 24
−5 −4 −3 −2 −1
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397) −20 ≤ 3x − 2 ≤ −14
−8 −7 −6 −5 −4 −3 −2 −1
398) 5 + 4v ≤ −15 or −4 + 4v ≥ −8
−10 −8 −6 −4 −2 0 2
399) 4 − 5n ≥ 4 or 6n − 3 ≥ 9
−4 −3 −2 −1 0 1 2 3 4 5
400) 4 − 4x < 16 and 2 − 5x > −13
−4 −3 −2 −1 0 1 2 3 4 5
401) −36 ≤ −1 + 5x < 19
−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
402) 8a + 5 ≤ 5 or a − 6 ≥ −3
−4 −3 −2 −1 0 1 2 3 4 5 6
403) 4p + 3 > 35 or 8 p + 2 ≤ −62
−10 −8 −6 −4 −2 0 2 4 6 8 10
404) 5 − 6k > −25 and 5k + 6 ≥ −29
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
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405) −76 < −4 − 8x ≤ −28
0 1 2 3 4 5 6 7 8 9 10 11
406) 23 < 5 + 9r < 86
−1 0 1 2 3 4 5 6 7 8 9 10 11
407) −6 − 8m < −46 or 7 − 3m ≥ 31
−10 −8 −6 −4 −2 0 2 4 6 8
408) 8 − 3n > 8 or 2n + 4 > 16
−4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9 10 11
409) 5n + 5 > −35 and 9n + 4 < 76
−10 −8 −6 −4 −2 0 2 4 6 8 10
410) 7x + 8 ≤ −34 or 1 − 7x ≤ 1
−10 −8 −6 −4 −2 0 2
411) −2 ≤ 2x − 2 ≤ 0
−1 0 1 2 3 4
412) 5b + 6 ≥ 16 or −9 + 8b < −1
−2 −1 0 1 2 3 4 5 6 7
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413) 2 ≤ 3v + 2 ≤ 26
−1 0 1 2 3 4 5 6 7 8 9 10
414) −5 + 2n < −21 or −3n − 5 < 10
−12 −11 −10 −9 −8 −7 −6 −5 −4 −3 −2
415) 1 ≤ 4 − 3x < 31
−10 −8 −6 −4 −2 0 2 4
416) −a − 7 > −5 and 8 + 6a > −46
−12 −10 −8 −6 −4 −2 0
417) 6 − 3m ≤ 21 and 5m + 1 ≤ −9
−7 −6 −5 −4 −3 −2 −1
418) −x + 9 < 1 or 8x − 2 < −58
−8 −4 0 4 8 12
419) 1 + 4x ≤ 21 or 7 + x > 16
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14
420) 5k − 1 < −1 or −k + 3 < 0
−4 −3 −2 −1 0 1 2 3 4 5 6 7
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421) 4n + 7 > −5 or 4n − 2 < −38
−12 −10 −8 −6 −4 −2 0
422) −4 + 5 p ≥ 21 or 6p − 6 < −12
−4 −3 −2 −1 0 1 2 3 4 5 6 7 8
423) 9 + 2r ≤ 25 and 7 − 4r < 31
−8 −6 −4 −2 0 2 4 6 8 10
424) −24 ≤ 1 − 5n ≤ −9
1 2 3 4 5 6 7 8
425) −8 ≤ 1 − 3b ≤ −5
1 2 3 4 5
426) −56 ≤ −8 − 6b < −50
5 6 7 8 9 10 11
427) x − 2 < 1 or 7 − 4x ≤ −17
−2 −1 0 1 2 3 4 5 6 7 8 9
428) −17 ≤ 4 − 7x ≤ 67
−12 −10 −8 −6 −4 −2 0 2 4
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429) 6 − 5v > 41 or 3 + v ≥ 10
−10 −8 −6 −4 −2 0 2 4 6 8 10
430) 6a + 8 > 8 and 9 + 4a ≤ 33
−2 −1 0 1 2 3 4 5 6 7 8
431) −4 < 2 + 6n ≤ 32
−3 −2 −1 0 1 2 3 4 5 6
432) 5x + 4 > 44 or −5x + 6 ≥ −4
−2 −1 0 1 2 3 4 5 6 7 8 9 10 11
433) 17 ≤ −9x − 1 ≤ 44
−6 −5 −4 −3 −2 −1
434) −2k + 2 ≤ 8 or 9k − 6 ≤ −87
−12 −10 −8 −6 −4 −2 0
435) 9 − 6m ≤ 39 and −3 + 7m ≤ 4
−7 −6 −5 −4 −3 −2 −1 0 1 2 3 4
436) −5 p − 2 ≥ 13 or 2p + 1 ≥ −3
−8 −7 −6 −5 −4 −3 −2 −1 0 1
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437) 8 − 2n ≤ −4 or 5 − 3n ≥ −7
0 1 2 3 4 5 6 7 8 9 10 11
438) −r − 5 > 0 or 5 − 3r ≤ −10
−10 −8 −6 −4 −2 0 2 4 6 8
439) −28 < 8 + 4x < 4
−12 −10 −8 −6 −4 −2 0
440) 2b + 3 < −13 or 4b − 7 > 13
−12 −10 −8 −6 −4 −2 0 2 4 6 8
441) −1 < 7 − 4n < 35
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3
442) 8 + x ≥ 8 or 2x + 7 < −5
−10 −8 −6 −4 −2 0 2 4
443) 2 − 2a ≤ −14 or 7 − 5a > −3
−1 0 1 2 3 4 5 6 7 8 9 10 11 12 13
444) 2v − 8 < 8 and 3v − 2 > 1
0 1 2 3 4 5 6 7 8 9
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445) 7n + 5 < −9 and 7 − 2n < 25
−12 −11 −10 −9 −8 −7 −6 −5 −4 −3 −2 −1
446) −4x − 3 > −15 and 3x − 9 > −24
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5
447) 4k − 3 ≥ 33 or 4k + 3 < 3
−3 −2 −1 0 1 2 3 4 5 6 7 8 9 10 11 12 13
448) 9x − 6 ≤ −24 or 8x − 9 > 55
−5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9 10 11 12
449) 42 ≤ 9n + 6 < 69
1 2 3 4 5 6 7 8 9
450) −4 < 4 p + 8 ≤ 44
−4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9 10 11
451) 1 + x < −4 or 9x − 6 > 48
−10 −8 −6 −4 −2 0 2 4 6 8
452) −2 + 3n < 16 or 1 + 4n ≥ 33
1 2 3 4 5 6 7 8 9 10 11 12 13
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453) −1 + 3b ≥ −19 and 8b − 5 ≤ 35
−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7
454) 8r − 3 ≤ −67 or −4 + 8r ≥ −60
−12 −11 −10 −9 −8 −7 −6 −5 −4 −3 −2
455) 9 − 8m < −39 or 3m − 2 < −11
−8 −6 −4 −2 0 2 4 6 8 10
456) x − 4 ≤ −12 or −6x − 4 ≤ −22
−12 −10 −8 −6 −4 −2 0 2 4 6
457) 5v + 8 < 48 and 7v + 9 ≥ 23
0 1 2 3 4 5 6 7 8 9
458) 3a + 1 ≥ 1 and 4a − 8 ≤ 12
−1 0 1 2 3 4 5 6 7
459) 3 − 5n ≥ 3 or −2 − 4n ≤ −6
−4 −3 −2 −1 0 1 2 3 4
460) −8 − 9x ≤ −89 or 6x − 8 ≤ −8
−4 −2 0 2 4 6 8 10 12 14
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461) 1 ≤ a − 4 < 2
2 3 4 5 6 7 8 9
462) 8k − 1 < 47 or 9 + 6k ≥ 51
3 4 5 6 7 8 9 10 11 12
463) −74 ≤ 8x − 2 ≤ −66
−11 −10 −9 −8 −7 −6 −5
464) 7 + 6 p < 25 and 4 − 2p < 6
−4 −3 −2 −1 0 1 2 3 4 5 6
465) −5 − 5n ≥ −5 and 2 + 6n > −40
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3
466) −6 − 6m ≥ −24 or 6m + 9 ≥ 33
−2 −1 0 1 2 3 4 5 6 7
467) 2 − 7r ≤ −26 or 4r − 3 ≤ −23
−8 −6 −4 −2 0 2 4 6 8
468) −8 − 8x ≥ 16 and −3 − 7x < 25
−7 −6 −5 −4 −3 −2 −1 0
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469) −2 < 6 − 2b < 8
−2 −1 0 1 2 3 4 5 6
470) 2n + 9 ≥ −5 or 5 + 4n < −31
−13 −12 −11 −10 −9 −8 −7 −6 −5 −4 −3 −2
471) −25 ≤ 3x + 2 ≤ 5
−10 −8 −6 −4 −2 0 2
472) −3n − 3 < 21 and 7n + 8 ≤ 8
−10 −8 −6 −4 −2 0 2
473) 5 − 3x > 20 or 3x + 2 ≥ −10
−8 −7 −6 −5 −4 −3 −2 −1 0 1
474) 4 + 7v > 11 or 7 − 7v > 14
−5 −4 −3 −2 −1 0 1 2 3 4
475) 1 − 4a > 9 or 7a + 7 > 0
−5 −4 −3 −2 −1 0 1 2 3 4
476) 3x − 7 < 11 or −5x + 3 < −32
1 2 3 4 5 6 7 8 9 10
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477) −4n − 9 ≥ 11 or 6n − 9 > −33
−8 −7 −6 −5 −4 −3 −2 −1 0
478) 8k + 5 < 69 and −5k − 3 ≤ −33
3 4 5 6 7 8 9
479) −8 + 9m ≥ 19 or 2 − 2m > 14
−10 −8 −6 −4 −2 0 2 4 6 8
480) 4 − 8x ≥ 68 or 5 + 2x ≥ 5
−12 −10 −8 −6 −4 −2 0 2 4
481) −26 < −6x − 2 ≤ −14
−1 0 1 2 3 4 5
482) −8 − 8 p ≥ −64 and 6 + 5p > −34
−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8
483) −30 < 5 − 7n ≤ −23
1 2 3 4 5 6 7
484) −6 + 8x ≥ −30 and x − 4 < −2
−6 −5 −4 −3 −2 −1 0 1 2 3 4
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485) 5b + 4 > 4 or −2 + b ≤ −10
−12 −10 −8 −6 −4 −2 0 2 4
486) 2 + r < 10 and r + 2 > −7
−10 −8 −6 −4 −2 0 2 4 6 8 10
487) −13 < v − 5 ≤ 0
−10 −8 −6 −4 −2 0 2 4 6
488) −6 − 7n < −69 or 4n − 4 ≤ −12
−6 −4 −2 0 2 4 6 8 10 12
489) −7 ≤ 5 + 3x ≤ 32
−5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9 10 11
490) −8 < −3k + 4 ≤ 19
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
491) 2a + 5 ≤ −5 or 4a − 1 ≥ 19
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8
492) −15 < −3a + 6 < 21
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9
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493) 2x + 7 ≥ 19 or 4x − 8 ≤ −28
−8 −6 −4 −2 0 2 4 6 8 10
494) 2 p + 3 ≥ 9 or 5p + 6 ≤ −24
−10 −8 −6 −4 −2 0 2 4 6
495) 5n + 2 ≥ −28 and n − 9 ≤ −8
−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3
496) 3 − 8m > 59 or −7 + 2m ≥ −5
−12 −10 −8 −6 −4 −2 0 2 4
497) 3 ≤ 2r − 9 ≤ 9
4 5 6 7 8 9 10 11 12
498) 4 + x ≥ 8 or −9 − 5x ≥ 26
−12 −10 −8 −6 −4 −2 0 2 4 6
499) −17 < −3n + 7 < 28
−8 −6 −4 −2 0 2 4 6 8 10
500) −4x + 8 > 4 or −5 − 3x < −32
−3 −2 −1 0 1 2 3 4 5 6 7 8 9 10 11 12 13
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501) −150 ≤ 16b − 6 < 90
−10 −8 −6 −4 −2 0 2 4 6 8
502) 7x − 4 > −60 and 10 − 18x ≥ −296
−8 −4 0 4 8 12 16
503) 16 − 14v ≤ −96 or 13v − 1 < −53
−6 −4 −2 0 2 4 6 8 10
504) 7 − 6n ≤ −95 or 4n + 12 < 48
6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
505) −7k + 2 ≥ 107 or 14k − 16 > −142
−18 −16 −14 −12 −10 −8 −6 −4
506) 16x − 6 < 170 and −11x + 13 < 2
−2 −1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14
507) −163 < 19 + 14a < 299
−12 −8 −4 0 4 8 12 16 20
508) 133 > 15m − 17 > −212
−12 −8 −4 0 4 8 12
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509) −10x − 14 < −164 or 20 − 13x > 202
−16 −12 −8 −4 0 4 8 12 16
510) −17n + 4 > 293 or 14 + 8n > −18
−20 −18 −16 −14 −12 −10 −8 −6 −4 −2 0
511) 17 + 12p > −79 or 2 + 4 p < −42
−16 −14 −12 −10 −8 −6 −4
512) 2b + 4 ≤ −34 or −8b + 20 ≤ 44
−20 −16 −12 −8 −4 0
513) −20 + n ≥ −32 or 2n + 11 < −19
−19 −18 −17 −16 −15 −14 −13 −12 −11 −10 −9 −8
514) −102 < −10x + 18 < 68
−8 −6 −4 −2 0 2 4 6 8 10 12
515) −17 − 20a ≥ 3 or 9 − 4a ≤ 5
−4 −3 −2 −1 0 1 2 3 4
516) −167 < −10n − 17 ≤ 33
−6 −4 −2 0 2 4 6 8 10 12 14 16 18
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517) −275 < 14 − 17r ≤ 184
−8 −4 0 4 8 12 16 20
518) −10x + 13 ≥ 113 or 20x − 8 ≥ 372
−12 −8 −4 0 4 8 12 16 20 24
519) 14v − 12 ≤ 114 and 7v − 4 ≥ 31
2 3 4 5 6 7 8 9 10
520) −34 < 2 − 6x < 50
−10 −8 −6 −4 −2 0 2 4 6 8
521) 12x − 19 < −55 or 9x + 12 ≥ 93
−8 −6 −4 −2 0 2 4 6 8 10 12 14
522) 47 ≤ 13 − 17n ≤ 302
−18 −16 −14 −12 −10 −8 −6 −4 −2 0
523) 6k − 10 > 26 or 18k − 16 ≤ −196
−12 −8 −4 0 4 8
524) −31 < 3m + 8 ≤ −25
−16 −15 −14 −13 −12 −11 −10 −9
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525) −10 − 2x ≤ −40 or −10x − 3 ≥ −123
8 9 10 11 12 13 14 15 16 17 18
526) −14 − 18n ≥ 76 or 4 + 7n ≥ 144
−8 −6 −4 −2 0 2 4 6 8 10 12 14 16 18 20 22 24
527) 15p − 14 ≥ −209 and 11p − 15 ≤ −136
−14 −13 −12 −11 −10 −9 −8
528) 20 − 10r ≤ −20 or 1 + 13r < −142
−14 −12 −10 −8 −6 −4 −2 0 2 4 6
529) 19 ≤ 9b + 19 < 190
−2 0 2 4 6 8 10 12 14 16 18 20 22
530) 18 + 13n ≥ 109 and 17 + 11n < 116
4 5 6 7 8 9 10
531) 17x + 15 ≤ −104 or 5x + 15 > 95
−8 −4 0 4 8 12 16 20
532) 65 ≤ −3 − 4v < 73
−20 −19 −18 −17 −16 −15 −14
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533) 19a + 20 > −265 and 5a − 7 < 68
−16 −12 −8 −4 0 4 8 12 16
534) 15 + 11x < −194 or −8x + 19 < 67
−22 −20 −18 −16 −14 −12 −10 −8 −6 −4 −2
535) −16 − 9n < 137 and 20 + 14n < −134
−20 −18 −16 −14 −12 −10 −8
536) 103 < 19 + 12 p ≤ 139
6 7 8 9 10 11 12 13
537) 17x + 1 ≥ 154 or −16 − 20x > −176
3 4 5 6 7 8 9 10 11 12
538) −129 < 13n + 1 ≤ 261
−12 −8 −4 0 4 8 12 16 20
539) −17k − 8 < −8 or 4 + 7k < −31
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
540) 17 + 9m ≥ 179 or −19 − 7m > 51
−12 −8 −4 0 4 8 12 16 20
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541) 6 − 7p ≤ −43 or 4 p − 5 < −65
−16 −12 −8 −4 0 4 8 12
542) 60 ≤ −5b + 20 < 80
−15 −14 −13 −12 −11 −10 −9 −8 −7 −6 −5
543) 20 < 3 + 17x ≤ 139
−1 0 1 2 3 4 5 6 7 8 9 10 11
544) 10 + 10n > 170 or n + 8 ≤ 15
3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
545) 19 + 5x > −66 and −17 + 15x ≤ −62
−18 −16 −14 −12 −10 −8 −6 −4 −2
546) −17r + 19 > 291 or −2r + 13 ≤ 37
−20 −18 −16 −14 −12 −10 −8
547) 11n − 7 < −73 and 11n + 10 ≥ −78
−9 −8 −7 −6 −5
548) −164 < 18v − 2 ≤ −74
−12 −11 −10 −9 −8 −7 −6 −5 −4 −3
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549) 12 + 19x ≤ −330 or 5 + 19x ≥ 347
−20 −15 −10 −5 0 5 10 15 20
550) 3 + 12x ≥ 27 and 3x + 14 < 53
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
551) 13 + 11a ≥ 167 or 9 − 13a ≥ 61
−8 −6 −4 −2 0 2 4 6 8 10 12 14 16
552) −62 ≤ 17 p − 11 ≤ −28
−6 −5 −4 −3 −2 −1 0 1 2
553) −n − 13 ≥ −4 or 18n + 5 ≥ 5
−14 −12 −10 −8 −6 −4 −2 0 2 4
554) 4k − 20 ≤ −100 or −16k + 16 ≤ 96
−24 −22 −20 −18 −16 −14 −12 −10 −8 −6 −4 −2
555) 13n + 10 ≥ −250 and 3n + 3 < −6
−22 −20 −18 −16 −14 −12 −10 −8 −6 −4 −2 0
556) 14 − 4m < 22 or 18 − 7m > 95
−14 −12 −10 −8 −6 −4 −2 0 2
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557) −20 + 19r > −172 and 20r − 16 < −96
−11 −10 −9 −8 −7 −6 −5 −4 −3 −2
558) −12 − 12x > 120 or −19x + 20 ≤ −132
−12 −8 −4 0 4 8 12
559) −175 ≤ 13x − 6 < 46
−16 −12 −8 −4 0 4
560) 8b + 16 < 0 and 10b − 7 ≥ −197
−20 −18 −16 −14 −12 −10 −8 −6 −4 −2 0
561) 7n − 11 ≤ −102 or −12n + 8 < −64
−16 −12 −8 −4 0 4 8
562) 14v − 5 ≥ −285 and 11 − 10v > −9
−20 −16 −12 −8 −4 0 4
563) −15 − 2a ≥ −3 or 5 − 4a < 21
−11 −10 −9 −8 −7 −6 −5 −4 −3 −2 −1 0
564) 17 + 14k < 255 and 4 − 9k ≤ −41
4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
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565) 20 − 19x ≥ 305 or 8 − 17x < −247
−16 −12 −8 −4 0 4 8 12 16
566) 10 p + 7 > 37 or 12 + 18p < 12
−4 −3 −2 −1 0 1 2 3 4 5 6 7 8
567) 3 + 15n ≤ 78 or 13n − 15 > 115
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
568) 15n + 12 > −123 and 14n − 1 ≤ −15
−12 −10 −8 −6 −4 −2 0
569) 61 ≥ 6p + 19 > 19
−3 −2 −1 0 1 2 3 4 5 6 7 8 9
570) 6x − 10 < −112 or 16x + 11 > 219
−20 −15 −10 −5 0 5 10 15
571) 1 − m > 9 or 13m + 16 > −62
−12 −11 −10 −9 −8 −7 −6 −5 −4 −3
572) n − 10 > −3 and 14 + 3n < 74
4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
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573) 14b + 10 ≤ 136 and 9b − 11 > −164
−16 −12 −8 −4 0 4 8
574) −8 + 7x ≤ −1 or 9x − 12 ≥ 60
−3 −2 −1 0 1 2 3 4 5 6 7 8 9 10 11 12
575) 6n + 17 > 65 or 6n + 17 ≤ 53
3 4 5 6 7 8 9 10 11 12
576) −49 < 4x + 7 ≤ 43
−16 −12 −8 −4 0 4 8
577) 10a − 12 < 158 and 19a − 8 > 68
3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
578) 2r + 9 ≥ 7 or 17r + 4 ≤ −268
−18 −16 −14 −12 −10 −8 −6 −4 −2 0 2
579) 12 − 16v < −260 or 16v − 20 ≤ −228
−15 −10 −5 0 5 10 15 20
580) 14x − 3 ≥ −157 and −18 + 14x < 24
−12 −10 −8 −6 −4 −2 0 2 4
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581) 1 − 6k ≥ 31 and −2k − 9 ≤ 15
−14 −13 −12 −11 −10 −9 −8 −7 −6 −5 −4 −3
582) −141 < −15 − 9x < −87
5 6 7 8 9 10 11 12 13 14 15 16
583) 10x + 4 ≤ 84 and 11x + 13 ≥ −130
−12 −8 −4 0 4 8
584) −12n + 18 < −54 or 16 − 4n ≥ 36
−8 −6 −4 −2 0 2 4 6 8 10
585) −19p − 15 ≥ −300 or −11 + 9 p ≥ 151
11 12 13 14 15 16 17 18 19 20 21 22 23
586) 1 + 2n ≤ −33 or −14 + 13n ≥ −27
−20 −16 −12 −8 −4 0 4
587) 3 − 14m ≤ −179 or 12m − 17 < −89
−8 −6 −4 −2 0 2 4 6 8 10 12 14 16
588) −12b + 3 < 123 or 3b + 1 < −35
−15 −14 −13 −12 −11 −10 −9 −8 −7 −6 −5
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589) 19n + 2 > −283 and 12n + 2 ≤ 38
−16 −14 −12 −10 −8 −6 −4 −2 0 2 4
590) 18 + 19r > −115 and 2r − 10 < −14
−9 −8 −7 −6 −5 −4 −3 −2 −1 0
591) 7x − 5 < −138 or x − 12 > −5
−24 −20 −16 −12 −8 −4 0 4 8 12
592) −291 < 20v − 11 ≤ 289
−16 −12 −8 −4 0 4 8 12 16
593) 57 > −7x − 20 ≥ 15
−13 −12 −11 −10 −9 −8 −7 −6 −5 −4 −3 −2
594) 3 + 9a ≤ 39 and 19a − 8 > −255
−14 −12 −10 −8 −6 −4 −2 0 2 4 6
595) −60 < 4p − 16 < 12
−12 −10 −8 −6 −4 −2 0 2 4 6 8
596) 19 − 5n < −81 or 11 + 17n < 113
0 2 4 6 8 10 12 14 16 18 20 22 24
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597) −4x − 20 ≥ −8 or 7 − 7x < −56
−6 −4 −2 0 2 4 6 8 10 12
598) 17 + 4k ≥ −31 or 10 − 11k > 153
−17 −16 −15 −14 −13 −12 −11 −10 −9 −8 −7
599) n + 5 ≤ −9 or −11n + 4 < 59
−18 −16 −14 −12 −10 −8 −6 −4 −2 0
600) 12 + 6m ≥ −96 and 13 − 10m > −107
−20 −16 −12 −8 −4 0 4 8 12
Solve random inequalities and graph the solution:
601) 5 + 2r > 3r + 5 or 6 − 5r < −4r − 2
−5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9 10 11 12
602) 3n − 1 < 6n − 4 ≤ −1 + 5n
−2 −1 0 1 2 3 4 5
603) 5x − 6 ≥ 4x + 1 or −3x − 5 ≥ 1 + 3x
−4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9 10 11
604) 3r − 5 < 4r + 6 and r − 2 ≥ 2 + 2r
−13 −12 −11 −10 −9 −8 −7 −6 −5 −4 −3
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605) −5b − 6 > 4b − 6 or 6b − 3 ≥ 5b − 2
−3 −2 −1 0 1 2 3 4
606) 2 − 4x > 2 − 6x or 2x − 5 > 5 + 4x
−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
607) −3 + 4n < 3n − 5 and 4n + 2 ≥ 3n − 4
−7 −6 −5 −4 −3 −2 −1
608) 6x − 3 < x − 3 and −6 + 3x < 4x + 2
−10 −8 −6 −4 −2 0 2
609) 3 + 3v ≤ v + 3 or −4v + 4 ≤ −3v − 3
−5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9 10 11
610) −2 − 4a < −5a + 3 ≤ −3a + 5
−2 −1 0 1 2 3 4 5 6 7 8
611) 3x − 6 ≤ −2x + 4 or 2 + 3x ≤ 4x − 1
−2 −1 0 1 2 3 4 5 6 7
612) 4k + 6 < 3k − 3 or 4k − 4 > 4 − 4k
−12 −10 −8 −6 −4 −2 0 2 4
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613) 3n − 5 ≤ 2n + 2 < 4n − 4
1 2 3 4 5 6 7 8
614) 3 p + 5 < 4p + 2 or 2 + p > 5p + 6
−4 −3 −2 −1 0 1 2 3 4 5 6
615) 3x − 4 < 2x + 3 < 3x − 1
3 4 5 6 7 8 9 10
616) −2m − 5 ≤ 3 − 4m and −6m − 6 < −6 + m
−2 −1 0 1 2 3 4 5 6
617) −6 + 4n < 6n + 2 < 5n + 2
−5 −4 −3 −2 −1 0 1 2 3
618) r + 3 ≤ 2r − 2 or 2r + 5 ≥ −3 + 4r
1 2 3 4 5 6 7 8
619) n + 2 ≤ 2n − 3 or 4n − 6 < −1 − n
−4 −3 −2 −1 0 1 2 3 4 5 6 7 8
620) −6 + 4v < 5v − 3 and −v + 4 ≥ v + 6
−6 −5 −4 −3 −2 −1 0 1
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621) −6b − 3 ≥ −5b + 6 or 5 − 3b ≤ 4 − 2b
−12 −10 −8 −6 −4 −2 0 2 4 6
622) x + 5 ≥ 1 + 5x or x − 2 ≤ −6 + 3x
−4 −3 −2 −1 0 1 2 3 4 5 6
623) −3x − 6 ≤ −4x + 6 ≤ 1 + x
−2 −1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
624) 3a + 1 < −2 + 2a or a + 3 ≥ −3a + 3
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4
625) 5 + 5n ≥ 4n − 2 ≥ 5n − 6
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7
626) 4 p + 3 ≥ 3p + 2 and p + 3 > 5p − 5
−3 −2 −1 0 1 2 3 4
627) 2x − 6 > 4x + 6 or 4x + 6 ≤ 5x + 5
−10 −8 −6 −4 −2 0 2 4 6
628) 5n + 5 ≥ n + 5 and 6n − 4 < −2n + 4
−3 −2 −1 0 1 2 3 4
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629) 3 − 4k > 5 − 5k or 5k − 6 ≥ 3 + 6k
−12 −10 −8 −6 −4 −2 0 2 4 6
630) −5 + 2r < r − 6 ≤ 6r + 4
−3 −2 −1 0 1
631) −6x + 2 ≤ x + 2 and 4x − 1 ≤ 3x + 2
−1 0 1 2 3 4 5 6
632) −5r − 2 ≤ 6 + 3r ≤ −3r + 6
−4 −3 −2 −1 0 1 2
633) −4m + 2 ≥ 2 + 3m or −1 − 3m ≤ −4 − 2m
−5 −4 −3 −2 −1 0 1 2 3 4 5 6
634) 5 + 3n ≤ 3 + 4n or −2 − 2n < −5n − 2
−4 −3 −2 −1 0 1 2 3 4 5 6 7
635) 2 − 3x < 3x + 2 or −3 + 5x > 6x + 2
−10 −8 −6 −4 −2 0 2
636) n + 3 < −6n + 3 ≤ 5 − 4n
−4 −3 −2 −1 0 1 2
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637) 4 + x < −2x + 1 or 4 + 4x > 4 − 3x
−4 −3 −2 −1 0 1 2 3 4
638) 5 − a < 2 − 2a or 3 − a > 1 − 2a
−7 −6 −5 −4 −3 −2 −1 0 1
639) 5 + 5b ≤ 1 + 6b ≤ 5b + 6
1 2 3 4 5 6 7
640) v − 6 < 2v + 6 and −4 + 4v < 3v − 6
−14 −12 −10 −8 −6 −4 −2 0
641) −6p − 1 ≤ 3 − 5 p and 4 p − 3 ≤ 2p + 1
−5 −4 −3 −2 −1 0 1 2 3
642) 3k + 4 ≥ 1 + 6k or 1 + 6k > 5k + 3
−3 −2 −1 0 1 2 3 4 5 6
643) n − 2 < 2n + 5 < 5 + n
−10 −8 −6 −4 −2 0 2
644) 4x − 4 ≤ −3 + 3x ≤ 3 + 5x
−6 −5 −4 −3 −2 −1 0 1 2
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645) 3n − 5 ≤ 2 − 4n ≤ 2 + 2n
−3 −2 −1 0 1 2 3
646) 6x − 3 ≥ 4 − x or −5x + 5 < −6x − 1
−10 −8 −6 −4 −2 0 2 4
647) −2n − 1 < 5n − 1 or 4 + 5n < 2n + 1
−5 −4 −3 −2 −1 0 1 2 3 4
648) 1 + 3m < 2m − 3 or −4m + 2 ≤ 3m − 5
−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4
649) 5 + 2x ≤ 3x + 4 and 4x − 5 ≤ 3x − 1
−1 0 1 2 3 4 5
650) −5r − 4 ≥ −3r − 6 or 4r − 4 ≥ 3 + 3r
−4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9 10 11
651) 3x − 3 < 5x − 1 < 6 − 2x
−2 −1 0 1 2
652) 3 − 5b < 5 − 4b and b + 2 ≥ 5b − 2
−4 −3 −2 −1 0 1 2
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653) −6v − 5 ≤ −5 + 2v or −2v − 3 > −v + 4
−12 −10 −8 −6 −4 −2 0 2
654) 4 − 3 p ≤ 1 − 2p or −5 p + 6 > p + 6
−5 −4 −3 −2 −1 0 1 2 3 4 5 6
655) 6a + 1 ≥ 3 + 5a or 6 − 5a ≥ 6 + 3a
−4 −3 −2 −1 0 1 2 3 4 5
656) 3 + 6x ≥ 5x − 5 and 3x + 3 ≤ 2x + 1
−10 −9 −8 −7 −6 −5 −4 −3 −2 −1
657) 2 − 4k ≥ −4 − 6k ≥ 3k + 5
−6 −5 −4 −3 −2 −1 0 1 2
658) 2n − 2 ≤ 2 + 6n and 1 − 6n ≥ 4n + 1
−3 −2 −1 0 1 2
659) 5n + 1 ≤ 4n − 5 or 2 − 4n ≤ 6 − 3n
−9 −8 −7 −6 −5 −4 −3 −2 −1 0
660) m − 3 > 5 − 3m or 5 + 2m ≥ 5m + 2
−4 −3 −2 −1 0 1 2 3 4 5
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661) −1 − 4r ≤ 2r + 5 and r − 3 > 4r − 3
−2 −1 0 1
662) 2x + 5 ≥ 3x + 6 or x − 1 > 4 − 4x
−5 −4 −3 −2 −1 0 1 2 3 4
663) 6v + 4 > 2v − 4 and 3 + 6v < 4v + 1
−4 −3 −2 −1 0
664) x + 1 < −3x + 1 and 3x − 3 < 4x − 1
−4 −3 −2 −1 0 1 2 3
665) 6 + 2n ≥ n − 4 > 6n + 1
−10 −8 −6 −4 −2 0 2
666) 5 + 3b < 5b − 3 or 2b − 4 ≤ b − 2
−1 0 1 2 3 4 5 6 7 8 9
667) 4 + 3a ≤ −3a − 2 < 6 − 2a
−10 −9 −8 −7 −6 −5 −4 −3 −2 −1 0 1
668) 4n + 2 ≥ 6n + 6 or 5 − n ≥ 2 − 4n
−7 −6 −5 −4 −3 −2 −1 0 1 2 3 4
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669) 3v − 6 < 6v + 3 and 5 − 3v ≥ 5v − 3
−6 −5 −4 −3 −2 −1 0 1 2
670) 4n + 4 < 5n − 5 or 1 − 4n ≤ 5 − 5n
−1 0 1 2 3 4 5 6 7 8 9 10 11 12 13
671) 2 − 4x ≤ −6x + 6 and 2 + 3x < 4 + 4x
−5 −4 −3 −2 −1 0 1 2 3
672) −3 + 2x ≥ 3x − 1 or −3 + 4x ≤ −2 + 5x
−6 −5 −4 −3 −2 −1 0 1 2 3 4
673) 5k + 6 > 4k − 1 and 5 + k ≥ 3 + 3k
−10 −8 −6 −4 −2 0 2
674) 3 + 6 p < 4p − 1 or 6 + 5 p ≥ −3p − 2
−5 −4 −3 −2 −1 0 1 2
675) x + 6 < −4 − x or −5 + x ≥ −5x + 1
−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4
676) 3m + 1 ≤ 2m − 5 or 3m − 6 ≤ 5m − 4
−10 −8 −6 −4 −2 0 2 4
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677) 4 − r > −5r − 4 > 5 + 4r
−4 −3 −2 −1 0 1
678) −n − 1 < 2 + 2n and n − 6 > 6n − 6
−3 −2 −1 0 1
679) 4b − 4 < 3b − 4 and −2 + 2b ≤ 2 + 3b
−6 −5 −4 −3 −2 −1 0 1 2 3
680) 6v + 2 < 4v + 2 or 4v − 5 > 4 − 5v
−4 −3 −2 −1 0 1 2 3 4
681) 4x + 4 > 3x − 4 and 2x + 6 ≤ x + 3
−11 −10 −9 −8 −7 −6 −5 −4 −3 −2 −1
682) 4 + 2x ≤ −x − 2 or 2x + 4 ≤ −5 + 3x
−6 −4 −2 0 2 4 6 8 10 12
683) −5 − 2a > 4a + 1 ≥ −5 + a
−3 −2 −1 0 1 2
684) 2n − 1 ≥ n + 2 or 6n + 2 ≤ 5n − 4
−10 −8 −6 −4 −2 0 2 4 6
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685) −6 + 3n > −2n − 6 and 5 − 3n ≥ −2n + 4
−1 0 1 2 3
686) k − 1 < 4k − 4 or 3 − 4k ≥ 3 + 3k
−4 −3 −2 −1 0 1 2 3 4 5
687) 3 − 5p ≥ 6 p + 3 or −6 + p ≥ 2 − 3 p
−3 −2 −1 0 1 2 3 4 5 6 7
688) 5 + 3n < 5n − 5 or 5 + 4n < 5 − 2n
−5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8
689) 2x − 3 > 5x − 3 and 2x − 1 > x − 2
−4 −3 −2 −1 0 1 2 3
690) 1 − 2m < 3 − 4m ≤ 6 − 3m
−6 −5 −4 −3 −2 −1 0 1 2 3 4
691) 5 + n ≤ 5 + 2n and 4 − 6n ≥ 1 − 5n
−1 0 1 2 3 4 5 6
692) x + 3 > 3x − 3 and 3 + 6x ≥ 2x + 3
−1 0 1 2 3 4 5 6
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693) 3b − 4 ≥ 4b + 1 or 6b − 5 ≥ 4b + 3
−10 −8 −6 −4 −2 0 2 4 6 8
694) 3 + 5r ≤ −6 − 4r or −3r − 4 > −4r + 6
−6 −4 −2 0 2 4 6 8 10 12
695) 3v − 1 < 2v − 5 ≤ 1 + 3v
−7 −6 −5 −4 −3 −2
696) 2 + 6a ≥ 5a + 2 or 5 + 5a < −4 + 4a
−14 −12 −10 −8 −6 −4 −2 0 2
697) −3 − 4k > −2k + 5 or 4k + 5 ≤ −3 + 6k
−7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7
698) −4x + 4 < 4 − 6x or x − 6 ≥ 2 − x
−5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9
699) −6 − 2n ≤ 3 − 5n < 6n + 3
−3 −2 −1 0 1 2 3 4 5
700) 2x − 3 < 3x − 5 < x + 1
1 2 3 4
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701) 4k + 2 ≥ −8 − k or 6 − k < 1 − 2k
−8 −7 −6 −5 −4 −3 −2 −1 0 1
702) −2 − 5n ≥ −4 − 6n and −7 + 7n < 6n + 7
−4 −2 0 2 4 6 8 10 12 14 16
703) x + 1 > 5 + 2x or 5 + 8x > 5 − 9x
−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
704) 6 p − 7 < 4p + 5 and 4 − 5 p ≤ 4 + p
−2 −1 0 1 2 3 4 5 6 7 8 9
705) −6x − 5 ≥ −4x + 1 or 8 + 7x ≥ 4 + 3x
−6 −5 −4 −3 −2 −1 0 1 2
706) −2m − 2 < 4m − 8 ≤ 3m − 4
−1 0 1 2 3 4 5 6 7
707) n + 3 < 3 − n or 5n − 2 ≤ 9n − 6
−4 −3 −2 −1 0 1 2 3 4
708) 3 + 9r ≥ 8r + 9 or 2r − 4 > −9 + 7r
−2 −1 0 1 2 3 4 5 6 7 8 9
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709) 7x + 2 > 5x + 8 or 8 + x ≥ 1 + 8x
−3 −2 −1 0 1 2 3 4 5 6 7 8
710) 2 + 4v < 7v + 2 < 4v + 8
−2 −1 0 1 2 3
711) 1 + 9b > 4b + 6 or 2b + 3 < −5b − 4
−5 −4 −3 −2 −1 0 1 2 3 4
712) 3n − 7 < 2n + 1 and 1 + 4n ≥ 3n + 1
−1 0 1 2 3 4 5 6 7 8 9 10 11
713) 4x − 9 ≤ 3x + 5 and 8x + 3 < 9x + 1
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
714) −8a − 8 < 8 − 6a ≤ 4 − 7a
−9 −8 −7 −6 −5 −4 −3 −2
715) 7x − 2 ≤ 8x − 8 or 3x − 3 > 4x − 7
1 2 3 4 5 6 7 8 9 10 11
716) −5 − 5 p < 4p + 4 < −3 p + 4
−3 −2 −1 0 1 2
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717) 9k − 9 ≥ −6k + 6 or 3k + 1 ≥ 7 + 5k
−6 −5 −4 −3 −2 −1 0 1 2 3 4
718) n + 5 ≤ 9n + 5 < 7n + 7
−3 −2 −1 0 1 2
719) −7x − 5 > 7 − 5x or 7x − 6 > 6x − 4
−10 −8 −6 −4 −2 0 2 4
720) 7m + 8 < 4m + 8 or 3 + 8m < 9m − 9
−4 −2 0 2 4 6 8 10 12 14
721) −9n + 5 < 4n + 5 or 8n − 1 ≤ 3n − 6
−4 −3 −2 −1 0 1 2 3
722) r + 4 > 2r − 5 or 2r + 3 ≤ 3r − 8
4 5 6 7 8 9 10 11 12 13 14 15 16
723) 5 − 5b ≥ −4 − 6b and 9 − 3b ≥ 5 + b
−12 −10 −8 −6 −4 −2 0 2
724) −1 + 9x ≤ −1 + 4x < 5x + 8
−10 −8 −6 −4 −2 0 2
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725) −6v − 2 ≤ 5v − 2 or 3 + 3v > 4v + 6
−6 −5 −4 −3 −2 −1 0 1 2 3 4
726) 9a + 8 ≤ 6a − 7 or 2 − 8a ≤ 6 − 4a
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2
727) 4x + 1 ≤ 1 − 5x < −3x + 5
−3 −2 −1 0 1
728) 5x + 1 ≤ 7x + 5 and 1 − 5x ≥ 1 − 3x
−4 −3 −2 −1 0 1
729) 9 + 5n ≤ 2n − 9 < 8 + 3n
−20 −18 −16 −14 −12 −10 −8 −6
730) 4x − 8 > 3x + 2 or 3x − 5 > 5x + 3
−8 −6 −4 −2 0 2 4 6 8 10 12 14
731) 5k − 9 > 7k + 1 or 4k − 4 < 5k − 3
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2
732) 5 + 3x ≤ 9x − 1 or −5 + 5x < 2x − 8
−6 −5 −4 −3 −2 −1 0 1 2 3 4
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733) −5 + 5n ≥ 7n + 7 or n + 1 < 3n + 5
−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2
734) −5 + 4 p ≤ 9 + 5p < 2 p + 6
−14 −12 −10 −8 −6 −4 −2 0 2
735) 3m − 5 ≥ 4m + 8 or 4m + 8 > 3 − m
−16 −14 −12 −10 −8 −6 −4 −2 0 2 4
736) −4n − 7 < −3n − 8 and 6 + 8n > 9n + 4
−1 0 1 2 3 4
737) −4k + 3 < −7k + 9 < −4k + 6
0 1 2 3
738) 9x + 4 > 3 + 8x ≥ 9x + 1
−3 −2 −1 0 1 2 3 4
739) 9r − 4 ≤ −4 + 3r ≤ 5r − 2
−4 −3 −2 −1 0 1
740) 7n − 7 ≥ 3 − 3n or 6 − 9n > −5n + 6
−5 −4 −3 −2 −1 0 1 2 3 4 5
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741) 2 + 5v ≤ 3v + 2 and 3v + 1 > v − 7
−5 −4 −3 −2 −1 0 1 2 3
742) 8x + 3 ≥ 3 − x or 5x − 6 < −8 + 4x
−7 −6 −5 −4 −3 −2 −1 0 1 2 3
743) 4x − 5 < x − 8 or −7x − 9 ≥ −9x + 3
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9
744) −b − 8 < −9b + 8 and 2b − 1 < 5b + 2
−3 −2 −1 0 1 2 3 4 5
745) 6a − 4 < 7a − 8 or 5a + 9 < −6 + 2a
−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8
746) −2n − 2 ≤ 4n + 4 < 3n + 8
−4 −3 −2 −1 0 1 2 3 4 5 6
747) 7x + 8 < x + 8 or 5x + 2 < 7x − 6
−4 −3 −2 −1 0 1 2 3 4 5 6 7 8
748) k + 9 > −5 − k and −2k + 2 ≤ 7 − 3k
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7
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749) −8p − 9 > 4 p + 3 or 3p + 2 ≤ 7 p + 2
−4 −3 −2 −1 0 1 2 3
750) 5m − 7 ≤ −9 + 7m or 5m − 8 ≥ 7m − 2
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
751) 5b + 6 ≥ 7b − 8 and 8b − 4 > 3b + 1
−1 0 1 2 3 4 5 6 7 8 9
752) 6r + 8 < 4r − 4 and 4r + 8 > 3r − 5
−14 −13 −12 −11 −10 −9 −8 −7 −6 −5
753) 2x + 7 < 4 + 3x or 1 − 5x ≥ 2x + 1
−4 −3 −2 −1 0 1 2 3 4 5 6 7
754) 5 + 5n ≥ 4 + 6n and 2 − 5n < 2 − n
−2 −1 0 1 2 3
755) 5 − 3x ≤ −4x + 6 ≤ x + 6
−1 0 1 2 3 4
756) 3v + 4 < −9 + 4v or 5v − 3 ≥ 6v − 8
0 2 4 6 8 10 12 14 16 18
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757) 1 − 2n > −6n − 3 or 7n − 2 < 6n − 7
−10 −8 −6 −4 −2 0 2 4
758) 4k + 1 ≤ 6k + 3 or 8 + 9k ≤ 4k − 7
−7 −6 −5 −4 −3 −2 −1 0 1 2 3 4
759) 3x − 4 ≥ −1 + 4x or 2 + 8x > 3x + 7
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
760) −4 − 3a ≤ 5 − 2a and 3a − 2 < a + 2
−10 −8 −6 −4 −2 0 2 4
761) 2p + 9 ≤ 4 p + 3 or 2p − 1 < p − 4
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
762) −9 + 8x ≤ 2x + 3 ≤ 6x + 7
−4 −3 −2 −1 0 1 2 3 4 5
763) 6n + 5 < −4 + 9n or 7n − 5 > 9n − 7
−3 −2 −1 0 1 2 3 4 5 6
764) −9n − 1 < −3n − 1 or 2n + 6 ≤ n − 8
−16 −12 −8 −4 0 4
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765) 7 + 7m < 3 + 9m or 3 − 9m ≥ 3 − 3m
−4 −3 −2 −1 0 1 2 3 4 5 6
766) r − 9 < 9r − 1 and 6 + r ≥ 4r − 9
−2 −1 0 1 2 3 4 5 6 7
767) 7 + 2x ≥ x + 3 or 3x + 8 ≤ 2x + 1
−10 −9 −8 −7 −6 −5 −4 −3 −2 −1
768) −3 + 4m > 5m − 2 and −3m − 7 < 9 + 5m
−3 −2 −1 0
769) −9 − 6x > −7x − 8 and 2 + 7x ≤ 6x + 9
−2 −1 0 1 2 3 4 5 6 7 8
770) −9 − 8x < 4 − 7x and 6 + 3x > 4x − 7
−12 −8 −4 0 4 8 12
771) 5b + 5 < 7b − 3 or −3 − 3b ≥ 6 − 2b
−14 −12 −10 −8 −6 −4 −2 0 2 4 6
772) −1 + 4n < 6n − 9 < 5n + 8
3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
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773) 6x + 4 ≥ 7 + 3x or 6 + 5x ≤ 4x − 6
−16 −14 −12 −10 −8 −6 −4 −2 0 2 4
774) 3 − 6v ≤ 7 − 8v ≤ v − 2
−2 −1 0 1 2 3 4
775) 3a − 6 > 6 + 7a and −6a + 7 ≥ 3 − 7a
−5 −4 −3 −2 −1 0
776) 8x − 9 ≥ 9x + 4 or 9 + 7x ≥ 4 + 2x
−16 −14 −12 −10 −8 −6 −4 −2 0 2
777) −6p − 8 < −9 p + 7 < −6p − 5
1 2 3 4 5 6
778) 5n − 5 > 7 + 2n or 7n + 7 ≤ 7 − 9n
−3 −2 −1 0 1 2 3 4 5 6 7 8 9
779) −4r − 4 < 5r + 5 or −9 − 3r ≥ 5 − 2r
−16 −14 −12 −10 −8 −6 −4 −2 0 2 4
780) 6k − 8 < 8k + 8 and 1 + 3k < −4k − 6
−10 −9 −8 −7 −6 −5 −4 −3 −2 −1 0
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781) 9 + 7m > m − 9 and 9 + 7m ≥ 8m + 4
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7
782) 4x + 1 ≤ 3x − 1 or −9x − 5 ≤ 9 + 5x
−6 −5 −4 −3 −2 −1 0 1 2 3
783) 4n − 5 ≤ 4 − 5n < −3n + 8
−4 −3 −2 −1 0 1 2 3
784) 4 + 7b ≤ −8 + 9b or 6b + 6 < −6 + 3b
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9
785) 1 + v > 2v − 4 and 3 − 3v ≤ −3 − v
1 2 3 4 5 6
786) 3n + 5 ≥ 2n + 3 and −5n − 6 < −6n − 4
−5 −4 −3 −2 −1 0 1 2 3
787) 8 + 2k < k − 2 or 4k − 5 < 6k − 5
−12 −10 −8 −6 −4 −2 0 2 4
788) −4 − 8x ≥ −6x − 6 or 4x − 7 > 3x + 2
−2 −1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14
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789) 8a − 8 ≤ 6a + 4 ≤ −5 + 9a
2 3 4 5 6 7 8 9
790) −4 − 5x < 2 − 6x and 7x − 7 > 3 − 3x
−2 −1 0 1 2 3 4 5 6 7 8 9
791) 6x + 5 < 2x + 1 or 2x + 6 > x + 6
−5 −4 −3 −2 −1 0 1 2 3
792) 9m + 1 ≤ −4 + 8m or 7m − 3 ≥ m + 9
−10 −8 −6 −4 −2 0 2 4 6
793) 7p − 6 ≤ 8 p − 5 or −5 − 5p ≤ −6 p − 9
−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2
794) −9 + 7x ≤ 8x − 7 and 5x + 5 ≤ 3 + 3x
−4 −3 −2 −1 0 1 2
795) 6n − 8 ≥ n + 2 or 8n + 2 < −8 + 7n
−14 −12 −10 −8 −6 −4 −2 0 2 4
796) 1 + 3m < 2m + 9 and 6 + 5m ≤ 9m + 6
−2 −1 0 1 2 3 4 5 6 7 8 9 10
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797) −7r − 4 ≥ −4r − 1 or −2 + 7r < −2 + 9r
−4 −3 −2 −1 0 1 2 3 4 5
798) 8n + 2 < 7n − 1 ≤ 7 + 9n
−7 −6 −5 −4 −3 −2 −1
799) −4 + 8x < 5x − 1 ≤ 6x + 6
−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3
800) 2 + 6n < 9n + 5 ≤ 8n + 9
−4 −3 −2 −1 0 1 2 3 4 5 6 7
801) 5v + 7 < 13v − 17 and 14v + 11 ≥ 16v − 17
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
802) −14b + 19 < 1 + 4b or 2b − 15 ≥ 4b + 17
−16 −12 −8 −4 0 4
803) 16x + 5 ≤ 18x − 19 or 6 − 3x < −5x + 12
−2 −1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
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804) −20k − 13 ≥ −15k − 18 or 3 + 16k ≤ 17k + 1
−3 −2 −1 0 1 2 3 4 5 6
805) 9 + 12p ≤ −5 p + 9 and 10 + 9 p < 11p + 12
−3 −2 −1 0 1
806) 6a + 11 < −7a − 2 or 11a + 13 < −15 + 12a
−4 0 4 8 12 16 20 24 28
807) −17n − 14 ≤ −13 − 18n or 20n − 15 ≥ 17n − 3
−2 −1 0 1 2 3 4 5 6 7
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808) 5x − 8 < 4x + 7 < 8x − 5
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
809) 6m − 19 ≥ 13 + 5m or −15 + 15m > 17m − 11
−5 0 5 10 15 20 25 30 35
810) 3 + 13x > 19 + 17x or 8x + 8 ≥ −20x − 20
−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2
811) 6n + 6 > 18 + 12n or 19 − 2n < −n − 9
−5 0 5 10 15 20 25 30
812) 9r + 2 ≤ 12 + 10r ≤ 9 + 7r
−12 −10 −8 −6 −4 −2 0 2
813) 13 + 13b ≤ 19b − 5 < 15b + 19
2 3 4 5 6 7 8
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814) 18v + 1 ≤ 13 + 16v ≤ 19v + 7
0 1 2 3 4 5 6 7 8
815) −15 + 6x > 4x + 3 or 11x + 14 > 12x + 19
−8 −4 0 4 8 12
816) 10x − 4 ≤ 14x − 8 and 17x + 7 ≥ 18x + 3
0 1 2 3 4 5
817) 8n + 1 < 7n + 19 and 10n + 1 < 14n + 17
−6 −4 −2 0 2 4 6 8 10 12 14 16 18 20
818) −7 − 7x ≥ 7x + 7 or 10x + 9 ≤ 6 + 13x
−4 −3 −2 −1 0 1 2 3 4 5 6
819) 3a − 18 ≥ 4a + 12 or 2a − 10 < 3a + 10
−32 −30 −28 −26 −24 −22 −20 −18 −16
820) 12x + 9 < 17x + 14 or −2x − 20 ≥ 9x + 2
−5 −4 −3 −2 −1 0 1 2 3
821) 3n + 4 < 4n − 12 < 19 + 3n
12 14 16 18 20 22 24 26 28 30 32
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822) 5k − 15 ≤ 18k − 2 ≤ −2 − 8k
−3 −2 −1 0 1 2 3
823) −2 − 20p ≤ −18 p + 14 and 15 p + 18 < 14p + 16
−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1
824) 4 + 5m < 7m − 20 or 10m − 16 ≤ 2 − 8m
−4 −2 0 2 4 6 8 10 12 14 16
825) 18x + 11 ≥ 10x − 13 or 7x − 19 ≥ 8x + 12
−36 −32 −28 −24 −20 −16 −12 −8 −4 0
826) 13r − 10 ≥ 8r + 20 or 4r − 7 ≥ 2 + 7r
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9 10
827) −5b + 9 > −4b + 14 or 11 + 10b < 8 + 11b
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
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828) 10x − 19 < 12x + 13 and 19x − 13 ≤ 18x − 20
−16 −14 −12 −10 −8 −6
829) 11v + 1 ≥ 6v + 11 or 13v + 10 > 10 + 18v
−5 −4 −3 −2 −1 0 1 2 3 4 5 6
830) 11b − 16 ≤ 8b + 8 ≤ 11b + 20
−6 −4 −2 0 2 4 6 8 10
831) 13n − 3 ≥ 14n + 2 or 11n + 1 ≤ 13n − 19
−8 −6 −4 −2 0 2 4 6 8 10 12 14
832) 11n − 10 ≤ 12n + 6 ≤ 11n + 14
−16 −12 −8 −4 0 4 8
833) 10a + 6 < 6 − 17a or 8a − 3 ≥ −3a + 19
−5 −4 −3 −2 −1 0 1 2 3 4 5
834) 7k − 20 ≤ 12k − 15 < 9k + 3
−4 −3 −2 −1 0 1 2 3 4 5 6 7 8
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835) 3x − 9 < 15 + 7x and 11x − 15 < 2x + 3
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3
836) 17x − 5 < 13 + 8x < 18 + 13x
−3 −2 −1 0 1 2 3 4
837) 15 + 10p > 5 + 8 p or −18 − 10p ≥ 4 − 8 p
−14 −12 −10 −8 −6 −4 −2
838) 16x + 6 < 12x − 10 < 11 + 15x
−10 −9 −8 −7 −6 −5 −4 −3
839) 11 − 8n < 19 − 9n or 6 + 17n < 18n − 18
4 6 8 10 12 14 16 18 20 22 24 26 28
840) 20m + 12 ≤ −15 + 19m or 11m + 12 ≥ 4m + 5
−28 −24 −20 −16 −12 −8 −4 0
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841) 11x − 5 ≤ 13x − 13 or 8x − 18 ≥ 9x − 9
−14 −12 −10 −8 −6 −4 −2 0 2 4 6
842) −6r − 2 < 6 − 10r ≤ 6 + 10r
−1 0 1 2 3 4 5
843) 13n + 20 < 15n − 10 < 14n + 10
13 14 15 16 17 18 19 20 21 22
844) 5v + 20 ≥ 18 + 6v and 13v − 3 < 17v + 1
−4 −3 −2 −1 0 1 2 3 4 5
845) 9 − 13b ≤ 9 + 3b or 7b + 11 ≤ 3 − b
−6 −5 −4 −3 −2 −1 0 1 2 3 4
846) 17x + 17 > 11 + 19x and 15x − 11 < 4 + 16x
−16 −12 −8 −4 0 4
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847) −19 + 10a < 17 + 14a ≤ 12a + 5
−12 −11 −10 −9 −8 −7 −6 −5
848) 7n + 18 < 12n − 17 or 19n − 6 ≥ 9 + 20n
−20 −16 −12 −8 −4 0 4 8
849) 8x + 10 ≤ 7x − 8 or x − 19 ≤ 11 + 6x
−22 −20 −18 −16 −14 −12 −10 −8 −6 −4 −2
850) 13x − 20 > 16x + 4 or 19 + 13x ≤ 15x − 1
−8 −4 0 4 8 12
851) −15 − 11n ≥ 3 − 10n or 6 + 14n ≤ 16n − 4
−20 −16 −12 −8 −4 0 4 8
852) −4 + 11k ≤ 14k − 10 < 12k + 12
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14
853) 6x + 3 ≥ 18 + 7x or 15 − 3x < 15 − x
−20 −16 −12 −8 −4 0 4
854) 7n − 10 ≤ 8n + 14 and −12n + 3 > −4n + 3
−24 −20 −16 −12 −8 −4 0
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855) 16 + 13m < −2 + 16m < 15 + 15m
5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
856) 6 p + 13 ≤ 3p − 2 or p − 14 ≥ −14p + 1
−10 −8 −6 −4 −2 0 2 4 6
857) 8b − 10 > 9b − 8 or 8b − 18 ≤ 13b − 13
−7 −6 −5 −4 −3 −2 −1 0 1 2
858) x − 2 > 15x + 12 or 17x − 5 > 4x − 5
−4 −3 −2 −1 0 1 2 3 4 5
859) 14r − 8 < −19 + 3r < 4r + 19
−40 −35 −30 −25 −20 −15 −10 −5 0
860) −4 + 4v < 2v − 12 or 12v − 9 ≥ 11v + 14
−8 −4 0 4 8 12 16 20 24
861) −12n + 3 < −16n + 7 < 5n + 7
−2 −1 0 1 2 3
862) 2 − 11b > −6 − 7b and 1 − 6b ≤ −b + 1
−1 0 1 2 3 4 5
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863) 19 − 16x < −18x + 13 or 7x + 20 > 2x + 15
−6 −5 −4 −3 −2 −1 0 1 2 3 4
864) 5k + 15 ≥ 1 − 9k or −18k − 18 ≥ 2 − 14k
−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3
865) −12 + 4p ≤ −14 + 5 p or 2 − 18p > 2 + 14 p
−4 −3 −2 −1 0 1 2 3 4 5
866) 18 − 12a ≥ 18 − 11a and −8 + 10a > 6a − 20
−5 −4 −3 −2 −1 0 1
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867) 10 + 7x ≥ 5x + 18 and 18x + 20 > −12 + 20x
3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
868) 8n + 11 < 6n − 5 or 19n + 20 ≥ −6n + 20
−12 −10 −8 −6 −4 −2 0 2 4
869) −18 − 16x ≤ 10x − 18 ≤ 8x + 6
−2 −1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
870) 12m − 10 ≤ 14 + 10m ≤ 11 + 11m
2 3 4 5 6 7 8 9 10 11 12 13 14 15
871) −13x + 4 > 2 − 14x and 3x − 4 < −4 − 13x
−4 −3 −2 −1 0 1 2 3
872) 1 − 11r < −15r − 19 or 7r − 17 ≤ 14r − 10
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4
873) 9b + 9 < 10b − 12 or 2b − 3 ≤ b + 5
2 4 6 8 10 12 14 16 18 20 22 24 26
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874) 8 − 9v ≤ 17 − 12v ≤ v + 4
0 1 2 3 4 5 6
875) 20x − 4 > 3x + 13 or −11x + 18 ≥ 13x + 18
−3 −2 −1 0 1 2 3 4 5 6
876) −20 − 15n > 18n − 20 and 6n − 8 ≤ 4 + 8n
−8 −7 −6 −5 −4 −3 −2 −1 0 1
877) 17 + 5k ≤ 7k − 3 or 15k + 13 ≥ 19k − 11
3 4 5 6 7 8 9 10 11 12 13 14
878) 2n − 3 ≥ 18 − 5n and −17 + 20n ≤ 18n − 3
1 2 3 4 5 6 7 8
879) 4 − 13a ≤ −11a − 2 or −2a + 10 ≤ 8 − 4a
−5 −4 −3 −2 −1 0 1 2 3 4 5 6
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880) 7x + 20 < 5 + 6x or 14x + 19 ≥ 15 + 12x
−18 −16 −14 −12 −10 −8 −6 −4 −2 0
881) 7x − 8 < 16 + 13x ≤ 2x − 17
−7 −6 −5 −4 −3 −2 −1 0
882) 6m − 2 ≤ −7 + 7m and 13 − 18m ≥ −17m − 10
2 4 6 8 10 12 14 16 18 20 22 24
883) 2 − 8x < 12 + 2x ≤ 12 − 20x
−4 −3 −2 −1 0 1
884) 15n + 9 ≤ −7 + 7n or 1 − 10n > 5 − 14n
−7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
885) 2p − 14 < 8 + p and 8 p − 12 ≥ 5p + 6
4 6 8 10 12 14 16 18 20 22
886) −n − 2 > −2n + 11 or 12n − 1 > 13n + 6
−12 −8 −4 0 4 8 12 16
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887) −2 + 11x ≤ 10x + 14 or −19 − 18x > −19x + 20
10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42
888) 12 − 6r < −2r + 12 and 14r + 3 > 15r − 7
−1 0 1 2 3 4 5 6 7 8 9 10 11 12
889) 4b + 19 > 16b + 7 and −2 − 20b ≤ 18 − 10b
−4 −3 −2 −1 0 1 2 3
890) 11x − 1 > 2 + 12x or 7x − 10 < −18 + 9x
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9
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891) −20 + 16a ≥ 17a − 19 or 18a − 4 > 16a + 12
−6 −4 −2 0 2 4 6 8 10 12
892) −10n − 13 > −18n − 5 and 14n + 11 ≤ 13n + 18
−2 −1 0 1 2 3 4 5 6 7 8
893) 11 − 9x ≥ −10x − 16 and 20 − 11x > −10x + 12
−25 −20 −15 −10 −5 0 5 10
894) −2 + 8v ≤ −15 + 7v < 9v + 13
−15 −14 −13 −12
895) 11 + 5k < 3 + 4k or 5k + 9 ≥ 4k + 5
−12 −10 −8 −6 −4 −2 0
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896) 13x + 10 ≤ 12x + 2 or 14x + 3 ≥ 12x − 11
−13 −12 −11 −10 −9 −8 −7 −6 −5 −4 −3 −2
897) −9 p − 15 < 13 − 10p < −9 p + 6
6 8 10 12 14 16 18 20 22 24 26 28
898) 11 − 2a > 11 − 17a and −18a − 14 > −15a − 20
−1 0 1 2 3 4 5
899) 17n − 20 < 11n + 16 and 7n + 2 ≤ 14n + 2
−1 0 1 2 3 4 5 6 7 8 9
900) 6m − 5 ≥ 13 + 9m or 18 − 8m ≤ 18 + 9m
−10 −8 −6 −4 −2 0 2
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