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

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

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

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

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

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

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

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

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 + 1 4.) -3b > 15

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

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

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

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