Warm ups
Solve for x.
1. 3 + x < 12
2. 23 > x – 15
3. 2x – 10 > x + 6
4. -3.4 > 0.9 – p
5. -3 + x > 2x – 4
6. .
1. x < 9
2. x < 38
3. x > 16
4. p > 4.3
5. x < 1
6. x = 2723 15
3x
7-2 Solving Inequalities Using Multiplication and
DivisionObjective: To solve inequalities
by multiplying and dividing.
Standard 5.0
Flip Inequality sign when:
1. You need to move the letter (variable) to the left
3 < x -5 > p
2. You multiply or divide by a negative number
-2x > 414
3x
3x 5p
12x 2x
Examples – solve and graph
3. -4x < -3
-4 -4
x > 3/4
4. 18 < -3m
4
-24 > m
m < -24
-4
3
6
Divide by a negative – FLIP!
-4
3
Move letter to left – FLIP!
Multiply by a negative – FLIP!
Flip Inequality sign when:
1. You need to move the letter (variable) to the left
3 < x -5 > p
2. You multiply or divide by a negative number
-2x > 414
3x
3x 5p
12x 2x