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07 Jul 2022, 01:30
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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:
95%
(hard)
Question Stats:
32% (01:49) correct
68%
(01:47)
wrong
based on 82
sessions
History
Date
Time
Result
Not Attempted Yet
What is the value of \(|x|\) ?
(1) \(|x| = 2x + 3\)
(2) \(x^2 + |x| – 2 = 0\)
Are You Up For the Challenge: 700 Level Questions
(1) \(|x| = 2x + 3\)
(2) \(x^2 + |x| – 2 = 0\)
Are You Up For the Challenge: 700 Level Questions
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
07 Jul 2022, 02:01
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Take note that the question asks for the value of |x|, not the value of x.
(1)Only
|x|=2x+3
Assuming x >=0
x = 2x + 3 => x = -3, which contradicts with the assumption.
Assuming x < 0
-x = 2x + 3 => x = -1, which is compatible with the assumption.
So x is -1, and |x| is 1.
Sufficient.
(2) Only
|x|^2 + |x| -2 = 0
(|x|+2)(|x|-1)=0
Because |x|+2 is positive
|x|-1=0
|x|=1
Sufficient.
The answer is thus (D).
(1)Only
|x|=2x+3
Assuming x >=0
x = 2x + 3 => x = -3, which contradicts with the assumption.
Assuming x < 0
-x = 2x + 3 => x = -1, which is compatible with the assumption.
So x is -1, and |x| is 1.
Sufficient.
(2) Only
|x|^2 + |x| -2 = 0
(|x|+2)(|x|-1)=0
Because |x|+2 is positive
|x|-1=0
|x|=1
Sufficient.
The answer is thus (D).
15 Jul 2022, 01:58
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