![Page 1: Warm ups Solve for x. 1. x + 14 = 16 2. -11 + x = 4 3. 5x – 3 = 4x + 2 4. -10x + 3 = 5 – 11x 5. 6x + 3 – 4x = x - 6 1.x = 2 2.x = 15 3.x = 5 4.x = 2 5.x](https://reader036.vdocuments.us/reader036/viewer/2022082507/5697bfa91a28abf838c99ac7/html5/thumbnails/1.jpg)
Warm ups
Solve for x.
1. x + 14 = 16
2. -11 + x = 4
3. 5x – 3 = 4x + 2
4. -10x + 3 = 5 – 11x
5. 6x + 3 – 4x = x - 6
1. x = 2
2. x = 15
3. x = 5
4. x = 2
5. x = -9
![Page 2: Warm ups Solve for x. 1. x + 14 = 16 2. -11 + x = 4 3. 5x – 3 = 4x + 2 4. -10x + 3 = 5 – 11x 5. 6x + 3 – 4x = x - 6 1.x = 2 2.x = 15 3.x = 5 4.x = 2 5.x](https://reader036.vdocuments.us/reader036/viewer/2022082507/5697bfa91a28abf838c99ac7/html5/thumbnails/2.jpg)
7-1 Solving Inequalities using Addition and
SubtractionObjective: To solve inequalities
by adding or subtracting.
Standard 5.0
![Page 3: Warm ups Solve for x. 1. x + 14 = 16 2. -11 + x = 4 3. 5x – 3 = 4x + 2 4. -10x + 3 = 5 – 11x 5. 6x + 3 – 4x = x - 6 1.x = 2 2.x = 15 3.x = 5 4.x = 2 5.x](https://reader036.vdocuments.us/reader036/viewer/2022082507/5697bfa91a28abf838c99ac7/html5/thumbnails/3.jpg)
Inequalities – not equal
is at least
is at most
![Page 4: Warm ups Solve for x. 1. x + 14 = 16 2. -11 + x = 4 3. 5x – 3 = 4x + 2 4. -10x + 3 = 5 – 11x 5. 6x + 3 – 4x = x - 6 1.x = 2 2.x = 15 3.x = 5 4.x = 2 5.x](https://reader036.vdocuments.us/reader036/viewer/2022082507/5697bfa91a28abf838c99ac7/html5/thumbnails/4.jpg)
Examples
1. 2.
3. 4.
5.
29 68g ( 21) 7y
11 5x 13 2 3 39z z
3 17 2 14r r
![Page 5: Warm ups Solve for x. 1. x + 14 = 16 2. -11 + x = 4 3. 5x – 3 = 4x + 2 4. -10x + 3 = 5 – 11x 5. 6x + 3 – 4x = x - 6 1.x = 2 2.x = 15 3.x = 5 4.x = 2 5.x](https://reader036.vdocuments.us/reader036/viewer/2022082507/5697bfa91a28abf838c99ac7/html5/thumbnails/5.jpg)
Graphing – letter always on left
Shade on number line – the arrow will tell you what direction to shade
< open circle to left
x < 7
> open circle to right
x > -2
0 7
-2 0
![Page 6: Warm ups Solve for x. 1. x + 14 = 16 2. -11 + x = 4 3. 5x – 3 = 4x + 2 4. -10x + 3 = 5 – 11x 5. 6x + 3 – 4x = x - 6 1.x = 2 2.x = 15 3.x = 5 4.x = 2 5.x](https://reader036.vdocuments.us/reader036/viewer/2022082507/5697bfa91a28abf838c99ac7/html5/thumbnails/6.jpg)
Graphing (continued)
< closed circle to left
x < -13
> closed circle to right
x > 18
-13 0
0 18
![Page 7: Warm ups Solve for x. 1. x + 14 = 16 2. -11 + x = 4 3. 5x – 3 = 4x + 2 4. -10x + 3 = 5 – 11x 5. 6x + 3 – 4x = x - 6 1.x = 2 2.x = 15 3.x = 5 4.x = 2 5.x](https://reader036.vdocuments.us/reader036/viewer/2022082507/5697bfa91a28abf838c99ac7/html5/thumbnails/7.jpg)
4 Things you need:
1. Circle
2. Number and zero
3. Shaded or open circle
4. Arrow (shading)
TOO:
y > 28 r<31 16x z
![Page 8: Warm ups Solve for x. 1. x + 14 = 16 2. -11 + x = 4 3. 5x – 3 = 4x + 2 4. -10x + 3 = 5 – 11x 5. 6x + 3 – 4x = x - 6 1.x = 2 2.x = 15 3.x = 5 4.x = 2 5.x](https://reader036.vdocuments.us/reader036/viewer/2022082507/5697bfa91a28abf838c99ac7/html5/thumbnails/8.jpg)
Translate, solve, and graph
Three times a number is more than the difference of twice that number and three.
![Page 9: Warm ups Solve for x. 1. x + 14 = 16 2. -11 + x = 4 3. 5x – 3 = 4x + 2 4. -10x + 3 = 5 – 11x 5. 6x + 3 – 4x = x - 6 1.x = 2 2.x = 15 3.x = 5 4.x = 2 5.x](https://reader036.vdocuments.us/reader036/viewer/2022082507/5697bfa91a28abf838c99ac7/html5/thumbnails/9.jpg)
Homework
Pg. 388 # 17 - 39 Don’t forget to shade! (It’s okay to be shady today)