1. Solving Inequalities by Multiplication and Division
Lesson 6-2
Solving Inequalities by Multiplication and Division

2. Definition
Multiplication Property of Inequalities- If each side of a true inequality is multiplied by the same positive number, the resulting inequality is true.
If each side of a true inequality is multiplied by the same negative number, the direction of the inequality symbol must be reversed so that the resulting inequality is also true.

3. Solve . Then check your solution.
Multiply by a positive number
Ex 1
Solve Then check your solution.

4. Solve . Then check your solution.
Multiply by a positive number
Solve Then check your solution.

5. Solve . Then check your solution.
Ex 2
Multiply by a negative number
Solve Then check your solution.

6. Solve . Then check your solution.
Multiply by a negative number
Solve Then check your solution.

7. Write and solve an inequality
Write an inequality for the sentence below. Then solve the inequality.
One fourth of a number is less than -7.
One fourth of
a number
is less than
-7.  -7 n 

8. Write and solve an inequality
Write an inequality for the sentence below. Then solve the inequality.
Four-fifths of a number is at most twenty.

9. Definition
Division Property of Inequalities- If each side of a true inequality is divided by the same positive number, the resulting inequality is true.
If each side of a true inequality is divided by the same negative number, the direction of the inequality symbol must be reversed so that the resulting inequality is also true.

10. Solve 14h > 91. Then check your solution.
Divide by a positive number
Ex 4
Solve 14h > 91. Then check your solution.

11. Solve 12s  60. Then check your solution.
Divide by a positive number
Solve 12s  60. Then check your solution.

12. Solve -5t  275. Then check your solution.
Ex 5
Divide by a negative number
Solve -5t  275. Then check your solution.

13. Solve -8q < 138. Then check your solution.
Divide by a negative number
Solve -8q < 138. Then check your solution.