1. 5 minutes
Warm-Up
Solve.
1) x + 7 < 12 2) 3) 4)

2. 2.3 The Multiplication Property of Inequalities
Objectives:
To solve inequalities using the multiplication property

3. Properties of Inequality
For all real numbers a,b, and c, where
Multiplication Property
Division Property

4. Example 1
Solve and graph the solution. 6 6 2 3 4 5 6

5. Example 2
Solve and graph the solution. 7 7 1 2 3 4 5

6. Example 3
Solve and graph the solution. -5 -5 -9 -8 -7 -6 -5

7. Practice
Solve and graph the solution. 1) 2) 3) 4)

8. Example 4
Solve and graph the solution. -2 -1 1 2

9. WARM UP Write an inequality to express the situation and then graph
1.) Mary had at least 5 CDs
2.) John had made at most $500 over the past summer
SOLVE and GRAPH on a number line
3.) 6 < c ) -3b > 15

10. 2.4 Using the Properties Together
Objectives:
To solve inequalities using the addition and multiplication properties

11. Example 1 Solve Graph the solution on a number line. +3 +3 -2 -1 1 2 8
+3 +3 -2 -1 1 2 8 8

12. Example 2 Solve Graph the solution on a number line. -2y -2y -15 -15 -3 -2 -1 1 3 3

13. Practice
Solve each inequality, and graph the solution on a number line.
1) -x + 8 < 41
2) 4y – 12 > 7y - 15