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MATH 7 MS. CHUN WEEK 3: 4/13-4/17/20

Solving Inequalities

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GRAPHING INEQUALITIES NOTES #1
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Inequality Signs

An inequality is like an equation, but instead of an equal sign (=) it has one of

these signs: < : less than ≤ : less than or equal to > : greater than ≥ : greater than or equal to

“x < 5”

means that whatever value x has,

it must be less than 5.

What could x be?

“x ≥ -2”

means that whatever value x has,

it must be greater than or equal to -2.

What could x be?

Graphing Rules

Symbol Circle Direction of Arrow

< Open Left > Open Right ≤ Closed Left

≥ Closed Right

Examples:

!  x < 5

!  x > -2

!  x ≤ -8

!  x ≥ 4

You Try:

!  x < -6

!  x > 2

!  x ≤ 0

!  x ≥ -7

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Kuta Software - Infinite Algebra 1 Name___________________________________

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Practice #1

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Create your own worksheets like this one with Infinite Algebra 1. Free trial available at KutaSoftware.com

Name :Teacher : Date :

Score :

Math-Aids.Com

Graphing InequalitiesGraphing Inequalities1 ) g 3< >|

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|3

|4

|5

|6

|7

|8

|9

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|11

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|13

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3 ) - f -3< >|

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-6|

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|2

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4 ) - m 0.5< >| |

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5 ) b 5< >|

0|1

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|8

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6 ) 8 d< >|

0|1

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|14

7 ) - a -5< >|

-7|

-6|

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-3|

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-1|0

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|6

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8 ) s -5< >|

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10 ) -1 - n< >|

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11 ) -5 - g< >|

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12 ) m 6< >|

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|2

|3

|4

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15 ) 6 y< >|

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16 ) 5 x< >|

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17 ) f 8< >|

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|2

|3

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|9

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|12

|13

|14

18 ) -2.5 - q< >| |

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19 ) 10 s< >|

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Practice #2

Name :Teacher : Date :

Score :

Math-Aids.Com

Graphing InequalitiesGraphing Inequalities1 ) g 3< >|

0|1

|2

|3

|4

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|14

>o2 ) -2 q< >| |

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-1| |

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-6|

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|2

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|4

|5

|6

|7

>o4 ) - m 0.5 or <_m -0.5< >| |

-3| |

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2| |

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5 ) b 5< >|

0|1

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|5

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|7

|8

|9

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< o6 ) 8 d< >|

0|1

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|14

< o7 ) - a -5 or >a 5< >|

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-6|

-5|

-4|

-3|

-2|

-1|0

|1

|2

|3

|4

|5

|6

|7

>o8 ) s -5< >|

-7|

-6|

-5|

-4|

-3|

-2|

-1|0

|1

|2

|3

|4

|5

|6

|7

>o9 ) - m 0.5 or >_m -0.5< >| |

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-2| |

-1| |

0| |

1| |

2| |

3| >o

10 ) -1 - n or >_1 n< >|

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-1|0

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|2

|3

|4

|5

|6

|7

< o

11 ) -5 - g or <5 g< >|

-7|

-6|

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-4|

-3|

-2|

-1|0

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|2

|3

|4

|5

|6

|7

>o12 ) m 6< >|

-7|

-6|

-5|

-4|

-3|

-2|

-1|0

|1

|2

|3

|4

|5

|6

|7

>o13 ) 0.5 d< >| |

-3| |

-2| |

-1| |

0| |

1| |

2| |

3|< o

14 ) 12 f< >|

0|1

|2

|3

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>o15 ) 6 y< >|

0|1

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|11

|12

|13

|14

>o16 ) 5 x< >|

-7|

-6|

-5|

-4|

-3|

-2|

-1|0

|1

|2

|3

|4

|5

|6

|7

< o17 ) f 8< >|

0|1

|2

|3

|4

|5

|6

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|9

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|11

|12

|13

|14

< o18 ) -2.5 - q or >2.5 q< >| |

-3| |

-2| |

-1| |

0| |

1| |

2| |

3|< o

19 ) 10 s< >|

0|1

|2

|3

|4

|5

|6

|7

|8

|9

|10

|11

|12

|13

|14

>o20 ) - a 1.5 or <_a -1.5< >| |

-3| |

-2| |

-1| |

0| |

1| |

2| |

3|< o

Name________________________

GRAPHING INEQUALITIES #1 (ONE VARIABLE) Directions: Graph each inequality on the number line provided. For all “less than” inequalities, you should draw your line to the left. For all “greater than” inequalities, draw your solution to the right. Shade your circle in whenever you see ≤ or ≥ .

-5 0 5 -5 0 5

Examples: x > -3 4x ≤

-5 0 5 -5 0 5 -5 0 5

1) 2x ≤ 2) x > -5 3) 1x ≥

-20 -10 0 10 20-20 -10 0 10 20 -20 -10 0 10 20

4) 15x ≥ − 5) x < 10 6) x < -15

-8 -4 0 4 8 -8 -4 0 4 8 -8 -4 0 4 8

7) x > 3 8) x > -3 9) x < 0

-5 0 5 -8 -4 0 4 8-20 -10 0 10 20

10) 1x ≥ − 11) 20x ≤ 12) x < 6

-8 -4 0 4 8-8 -4 0 4 8 -20 -10 0 10 20

13) 4x ≥ − 14) 5x ≤ 15) x < -6

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Graphing Inequalities Practice #3
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