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21 Oct 2021, 08:45
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
81% (01:16) correct
19%
(01:32)
wrong
based on 724
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If 2|2 –x| = 5, what is the sum of all the possible values for x ?
A. 1/2
B. 2
C. 5/2
D. 4
E. 5
A. 1/2
B. 2
C. 5/2
D. 4
E. 5
Updated on: 21 Oct 2021, 10:23
Originally posted by BrentGMATPrepNow on 21 Oct 2021, 09:35.
Last edited by BrentGMATPrepNow on 21 Oct 2021, 10:23, edited 1 time in total.
Last edited by BrentGMATPrepNow on 21 Oct 2021, 10:23, edited 1 time in total.
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Bunuel
Wow, I certainly misread that question!!
I first read it as "What is the value of x?"
Take 2|2–x| = 5
Divide both sides of the equation by 2 to get: |2 - x| = 2.5
This means that either 2 - x = 2.5, or 2 - x = -2.5
If 2 - x = 2.5, then x = -0.5
If 2 - x = -2.5, then x = 4.5
So the sum of the solutions = (-0.5) + 4.5 = 4
Answer: D
General Discussion
21 Oct 2021, 09:53
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|2 - x| = (5/2)
- (2 - x) = (5/2) or (2 - x) = (5/2)
(x - 2) = (5/2) or (2 - x) = 5/2
x = [(5/2) + 2] or x = [2- (5/2)]
x = (9/2) or x = -(1/2)
Possible value of x {-1/2 , 9/2}
Aum of possible value of
= (-1/2) + 9/2
= (9/2) - (1/2)
= (8/2)
= 4
= Option D
Posted from my mobile device
- (2 - x) = (5/2) or (2 - x) = (5/2)
(x - 2) = (5/2) or (2 - x) = 5/2
x = [(5/2) + 2] or x = [2- (5/2)]
x = (9/2) or x = -(1/2)
Possible value of x {-1/2 , 9/2}
Aum of possible value of
= (-1/2) + 9/2
= (9/2) - (1/2)
= (8/2)
= 4
= Option D
Posted from my mobile device
