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If -3 < 2x + 5 < 11, what is the range of values for x?

GRE Β· 2021 Β· quant slot 2
Question:
If -3 < 2x + 5 < 11, what is the range of values for x?

Options

(A) -4 < x < 3
(B) -3 < x < 4
(C) -2 < x < 5
(D) -1 < x < 6
(E) 0 < x < 7
Answer: (A) -4 < x < 3

Explanation:
Solving -3 < 2x + 5: -3 - 5 < 2x, so -8 < 2x, giving -4 < x. Solving 2x + 5 < 11: 2x < 11 - 5, so 2x < 6, giving x < 3. Combined: -4 < x < 3.

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