Graphing and Solving Inequalities

with multiplication and division

=

Stirrup1/06/08 (Revised:1/3/10 DM)

Lesson 6.2: Solving InequalitiesMultiplication Property: By a positive number.

32x

32x

84x

16 320-16-32

84x (4)(4)To Solve:

Stirrup1/06/08 (Revised:1/3/10 DM)

continue: Solving InequalitiesMultiplication Property: By a negative number.

32x

To Solve:

32x

84x

16 320-16-32

8

4x

(- 4) (- 4)

When you multiply both sides by a negative number the inequality sign switches direction.

Stirrup1/06/08 (Revised:1/3/10 DM)

continue: Solving Inequalities

Division Property: By a positive number.

To Solve:

5

5 40x

8x

8 160-8-16

5 40x

8xWhen you multiply or divide both sides by a positive number the inequality sign doesn’t switch direction.

5

Stirrup1/06/08 (Revised:1/3/10 DM)

continue: Solving InequalitiesDivision Property: By a negative number.

6x

To Solve:

6x

4 24x

6 120-6-12

4 24x 4 4

When you multiply or divide both sides by a negative number the inequality sign switches direction.

Stirrup1/06/08 (Revised:1/3/10 DM)