1. Solve an inequality using multiplication EXAMPLE 2 < 7< 7 x –6 Write original inequality. Multiply each side by –6. Reverse inequality symbol. x > –42 Simplify. ANSWER The solutions are all real numbers greater than –42. Check by substituting a number greater than –42 in the original inequality. < 7. Graph your solution. x –6 Solve x –6 > –6 –6 7

2. Solve an inequality using multiplication EXAMPLE 2 CHECK Write original inequality. Substitute 0 for x. Solution checks x –6 < 7 0 –6 < 7 ? 0 < 7

3. Solve an inequality using division EXAMPLE 3 –3x > 24 –3x –3 < 24 –3 x < –8 Write original inequality. Divide each side by –3. Reverse inequality symbol. Simplify. –3x > 24. Solve

4. GUIDED PRACTICE for Examples 2 and 3 4. > 12 x –4 x < –48 ANSWER Solve the inequality. Graph your solution.

5. GUIDED PRACTICE for Examples 2 and 3 5. < 1.6 m –7 m > –11.2 ANSWER Solve the inequality. Graph your solution.

6. GUIDED PRACTICE for Examples 2 and 3 6. 5v  45 v  9 ANSWER Solve the inequality. Graph your solution.

7. GUIDED PRACTICE for Examples 2 and 3 7. –6n < 24 n > –4 ANSWER Solve the inequality. Graph your solution.