1. Warm ups

2. 7-4 Compound Inequalities
Objective: To solve and graph compound inequalities involving “and”

3. Compound Inequalities
“and” – solution has to qualify for both inequalities at the same time!
Steps:
Graph on different number lines first
Then combine onto one number line
Example 1: x < 5 and x > -2
Answer

4. TOO
x > 0 and x < 7

5. Another way to write “and”
Example 2: 2 < x < 4
read: “2 is less than x which is less than 4”
Split up into 2 separate inequalities
2 < x and x < 4
x > 2
Answer

6. TOO

7. Example 3

8. Special Cases p < -8 and p > 4
10 – 2p > 12 and 7p < 4p + 9

9. Working Backwards

10. Homework
Pg. 410 # 24, 25, 29, 30, 32, 34, 35, 36, 39, 43

11. Math Lab Warm up
Inequalities: Solve the inequality -3x + 1 < 16 and give a reason for each step. Write your steps clearly so someone who has never solved an inequality will understand.

12. Compound Inequalities
-3 < 2x + 7 < 13

13. Review
14 < 3n + 2 < 2
-3 < 2x + 7 < 13