Compound and Absolute Value Inequalities Review

Write an inequality for Graph 3.

• x ≤ -2 AND x > 5

• x ≤ -2 OR x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x < 5

x+2<-4 or -5x<-15

• -6<x<3

• x<-3 and x>6

• x<-6 or x>3

• No Solution

Solve:

• A

• B

• C

• D

Solve:  -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -1 < x < 3

• 1 < x < 3

• 1 ≤ x ≤ 3

Solve:  
3x + 2 < -4  or  4x + 4 > 24

• x < -2  or  x > 5 

• x < 2  or  x > 5

• x < -2  and  x > 5 

• x < 2  and  x > 5

Solve.
|y - 4| ≥ 8

• y ≤ -4 or y ≥ 12

• -4 ≤ y ≤ -12

• y ≤ 4 or y ≥ -12

• -12 ≤ x ≤ 4

Solve:
|x + 4| - 8 > 2

• x > 6 and x < 10

• x > 6 or x < -14

• all real numbers

• no solution

Solve:
3 | 2x + 7| - 7 < -4

• x < -3 and x > -5/3

• x < -3 and x > -4

• all real numbers

• no solution

Match each number line or sentence with the correct compound inequality:

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