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An inequality |2x - a| < a - 4 has a solution. What is t

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by Max@Math Revolution » Mon Dec 23, 2019 5:17 pm
[GMAT math practice question]

An inequality |2x - a| < a - 4 has a solution. What is the range of a?

A. 0 < a < 1
B. 1 < a < 2
C. 2 < a < 3
D. 3 < a < 4
E. 4 < a
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by Max@Math Revolution » Wed Dec 25, 2019 4:56 am
=>

Since we have an absolute value on the left side, the value of the right side must be positive in order for the inequality to have a solution.
Thus we have a - 4 > 0 or a > 4.

Therefore, E is the answer.
Answer: E
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