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If -3 < 2x + 1 < 7, what is the range of possible values for x?

GRE Β· 2025 Β· quant slot 2
Question:
If -3 < 2x + 1 < 7, what is the range of possible values for x?

Options

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

Explanation:
Solving -3 < 2x + 1: -4 < 2x, so x > -2. Solving 2x + 1 < 7: 2x < 6, so x < 3. Combined: -2 < x < 3.

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