Graph Absolute Value Inequality

Solve the absolute Value inequality and graph. 

• A

• B

• C

• D

Solve:  |x + 3| < 8

• x > 5 or x < -11

• -11 < x < 5

• x > 11 or x < -5

• 5 < x < 11

Solve:  |x - 3| < 8

• x > 5 or x < -11

• -11 < x < 5

• x > 11 or x < -5

• -5 < x < 11

Solve:  |x - 3| > 8

• x > 5 or x < -11

• -11 < x < 5

• x > 11 or x < -5

• -5 < x < 11

Which graph matches the inequality?

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• 
• 
• 

What is the correct equation for this graph?

• y > -|x| + 7/2

• y > -2|x| + 4

• y > -1/2|x| + 2

• y > |x| + 4

Tags

CCSS.HSF-IF.C.7D

Solve:  |2x + 1| ≤ 19

• x ≥ 9 or x ≤ -10

• -10 ≤ x ≤ 9

• x ≥ 10 or x ≤ -9

• -9 ≤ x ≤ 10

Solve:  |2x - 1| ≥ 19

• x ≥ 9 or x ≤ -10

• -10 ≤ x ≤ 9

• x ≥ 10 or x ≤ -9

• -9 ≤ x ≤ 10

Solve:  |k| < 8

• x > 8 or x < -8

• -8 < k < 8

• No solution

• Infinite solution

Solve:  |k| > 8

• x > 8 or x < -8

• -8 < k < 8

• No solution

• Infinite solution