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Absolute Value Relationships

Question 10 • TOL-202627-S1-MTH-Algebra 2A - Parker, Carla

Which values of p are solutions to the inequality shown? Check all that apply.|18 – 2p| > 8

Answer
A
–10
B
–5
C
0
D
5
E
10
F
15

Explanation

For |18 − 2p| > 8, either 18 − 2p > 8, which gives p < 5, or 18 − 2p < −8, which gives p > 13. The listed values that meet those conditions are −10, −5, 0, and 15. The value 5 does not work because it makes the absolute value equal to 8, not greater than 8.

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