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Which of the following is equivalent to the pair of inequalities \(x + 6 > 10\) and \(x - 3 \leq 5 ?\)

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by Gmat_mission » Thu May 21, 2020 1:08 am

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Which of the following is equivalent to the pair of inequalities \(x + 6 > 10\) and \(x - 3 \leq 5 ?\)

(A) \(2 < x < 16\)
(B) \(2 \leq x < 4\)
(C) \(2 < x \leq 8\)
(D) \(4 < x \leq 8\)
(E) \(4 \leq x \leq 16\)

[spoiler]OA=D[/spoiler]

Source: Official Guide
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Source: — Problem Solving |

Gmat_mission wrote:
Thu May 21, 2020 1:08 am
Which of the following is equivalent to the pair of inequalities \(x + 6 > 10\) and \(x - 3 \leq 5 ?\)

(A) \(2 < x < 16\)
(B) \(2 \leq x < 4\)
(C) \(2 < x \leq 8\)
(D) \(4 < x \leq 8\)
(E) \(4 \leq x \leq 16\)

[spoiler]OA=D[/spoiler]

Source: Official Guide
Solution:

Simplifying the two given inequalities, we have:

x > 4 and x ≤ 8

Thus, 4 < x ≤ 8.

Answer: D

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