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

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Presentation transcript:

Warm ups

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 -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

Example 3

Special Cases 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