If it is true that \(x > -2\) and \(x < 7,\) which of the following must be true?
A. \(x > 2\)
B. \(x > -7\)
C. \(x< 2\)
D. \(-7 < x < 2\)
E. none of the above.
Answer: B
Source: Official Guide
If it is true that \(x > -2\) and \(x < 7,\) which of the following must be true?
This topic has expert replies
-
- Legendary Member
- Posts: 1622
- Joined: Thu Mar 01, 2018 7:22 am
- Followed by:2 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
GMAT/MBA Expert
- Scott@TargetTestPrep
- GMAT Instructor
- Posts: 7247
- Joined: Sat Apr 25, 2015 10:56 am
- Location: Los Angeles, CA
- Thanked: 43 times
- Followed by:29 members
Solution:Gmat_mission wrote: ↑Thu Apr 29, 2021 7:41 amIf it is true that \(x > -2\) and \(x < 7,\) which of the following must be true?
A. \(x > 2\)
B. \(x > -7\)
C. \(x< 2\)
D. \(-7 < x < 2\)
E. none of the above.
Answer: B
Source: Official Guide
If x > -2 and x < 7, the value of x is between -2 and 7. Because all of these values are greater than -7, then we know that x > -7.
This type of problem gives rise to a lot of confusion. Let’s consider two easier examples, to display the logic used in this question. If we know that x = 0, is it true that x > -5? Yes, it is. Here’s another one: If 3 < x < 7, is it true that x >1? Yes, it is true (because all possible values of x (any number between 3 and 7) are greater than 1). Notice that in both of these examples, we are NOT trying to reconstruct the domain of x, as this was already accomplished in the question stem. Rather, we are simply making a true statement about the value(s) of x.
Answer: B
Scott Woodbury-Stewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews