1. Lesson 91 Warm Up Pg. 602

2. Algebra 1 Lesson 91 Solving Absolute-Value Inequalities

3. Absolute-Value Inequalities The inequality x < 6 describes all real numbers whose distance from 0 is less than 6 units. The solutions are all real numbers between -6 and 6. This is an AND inequality. The inequality x > 6 describes all real numbers whose distance from 0 is greater than 6 units. The solutions are all real numbers less than -6 or greater than 6. This is an OR inequality.

4. Example 1 Solve each inequality by graphing. a.x < 4 b.x > 7

5. Example 2 Solve and graph each inequality. a. x + 7.4 ≤ 9.8 b. x > 2 4 c.-2 x < -6

6. Example 3 Solve each inequality. Then graph the solution. a.x – 5 ≤ 3 b.x + 7 > 3

7. Example 4 Solve each inequality. a.x + 6 ≤ 4 b.x + 6 > 1

8. Example 5 A poll finds that candidate Garcia is favored by 46% of the voters surveyed by 44%. The poll has an accuracy of plus or minus 3%. a.Write an absolute-value inequality to show the true percentage of voters for Garcia. b.Solve the inequality to find the range for the true percentage of voters who support Garcia.

9. Lesson 91 Homework Pg. 606 Practice, #1-10