Warm ups

3 15 45x 2 22 4 14p p

3( 2) 6(2 5)m m 6 x

7-4 Compound Inequalities

Objective: To solve and graph compound inequalities involving

“and”

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

TOO

x > 0 and x < 7

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

TOO

9 3 6 2x andx

2 6 8y

Example 3

3 6 12 2 32d d d

Special Cases

p < -8 and p > 4

10 – 2p > 12 and 7p < 4p + 9

Working Backwards

-1 10

TOO (if there is time)

14 < 3n + 2 < 2

-3 < 2x + 7 < 13

Homework

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

Math Lab Warmup

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.

Compound Inequalities

-3 < 2x + 7 < 13