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

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Gmat_mission: Legendary Member; Posts: 1622; Joined: Thu Mar 01, 2018 7:22 amFollowed by: 2 members

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

Source: Beat The GMAT — Problem Solving | Thu May 21, 2020 1:08 am

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8246; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

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

by Scott@TargetTestPrep » Sun May 31, 2020 10:11 am

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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