1. Objective The learner will solve & graph compound inequalities

2. Lesson 3-5 Compound Inequalities Pages 161-166

3. Definitions Compound inequalities are two inequalities considered together. Two inequalities that are joined by the word and or the word or form a compound inequality. The word inclusive is related to the word included. REMINDER:... multiplying or dividing by a negative number changes the direction of the inequality.

4. To solve a compound inequality, first separate it into two inequalities. Determine whether the answer should be a union of sets ("or") or an intersection of sets ("and"). Then, solve both inequalities and graph.

7. Now you try: Write a compound inequality that represents each situation. Graph your solution. a. all real numbers greater than -2 but less than 9 b. The books were priced between $3.50 and $6.00, inclusive.

8. Just for thought A solution of a compound inequality joined by and is any number that makes both inequalities true. One way you can solve a compound inequality is by writing two inequalities.

10. Now you try: Write an inequality that represents all real numbers that are at most -5 or at least 3. Graph your solution.

11. Just for thought. For a compound inequality joined by or, you must solve each of the two inequalities separately.

13. Now you try: Solve the compound inequality: -2x + 7 > 3 or 3x – 4 ≥ 5 Graph your solution.