What is the range of the solutions to the equation \(|2x - 3| = 7?\)
A. 4
B. 5
C. 6
D. 7
E. 8
Answer: D
Source: Veritas Prep
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
What is the range of the solutions to the equation \(|2x - 3| = 7?\)
This topic has expert replies
-
ashwinkohli
- Junior | Next Rank: 30 Posts
- Posts: 18
- Joined: Thu Oct 01, 2020 8:55 am
Case 1: 2x-3=7
2x=10 and x=5
Case 2: 2x-3=-7
2x=-4, x=-2
Range is 5-(-2) = 7
hence D
2x=10 and x=5
Case 2: 2x-3=-7
2x=-4, x=-2
Range is 5-(-2) = 7
hence D
GMAT/MBA Expert
-
Scott@TargetTestPrep
- GMAT Instructor
- Posts: 7242
- Joined: Sat Apr 25, 2015 10:56 am
- Location: Los Angeles, CA
- Thanked: 43 times
- Followed by:29 members
Solution:
Since |7| = |-7| = 7, we see that 2x - 3 = 7 or 2x - 3 = -7. If it’s the former, we have 2x = 10 → x = 5. If it’s the latter, we have: 2x = -4 → x = -2. Therefore, the range of solutions is 5 - (-2) = 7.
Answer: D
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
