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x satisfies |x - 2| ≤ 3. What is the solution range satis

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by Max@Math Revolution » Thu Dec 19, 2019 10:48 pm
[GMAT math practice question]

x satisfies |x - 2| ≤ 3. What is the solution range satisfying 13(x + 4)?

A. -3 ≤ 1/3(x + 4) ≤ 3
B. -1 ≤ 1/3(x + 4) ≤ 2
C. -2 ≤ 1/3(x + 4) ≤ 1
D. 1 ≤ 1/3(x + 4) ≤ 3
E. 0 ≤ 1/3(x + 4) ≤ 3
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by Max@Math Revolution » Sun Dec 22, 2019 5:14 pm
=>


|x - 2| ≤ 3
=> -3 ≤ x - 2 ≤ 3
=> -3 + 2 ≤ x ≤ 3 + 2
=> -1 ≤ x ≤ 5
=> -1 + 4 ≤ x + 4 ≤ 5 + 4
=> 3 ≤ x + 4 ≤ 9
=> 3/3 ≤ (1/3)(x + 4) ≤ 9/3
=> 1 ≤ (1/3)(x + 4) ≤ 3

Therefore, D is the answer.
Answer: D
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