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RenB
Joined: 13 Jul 2022
Last visit: 06 Jul 2026
Posts: 388
Given Kudos: 302
Location: India
Concentration: Finance, Nonprofit
Schools: Stanford '26 Wharton '26 (D) Booth '26 (D) Yale '26 (D) CBS '26 (A$$$) Darden '26 (WL) HBS '26 (D) Ross '26 (A$$$$) LBS '26 (D) Tuck '26 (A$$) Kellogg '26 (A)
GMAT Focus 1: 715 Q90 V84 DI82 
GPA: 3.74
WE:Corporate Finance (Consulting)
Schools: Stanford '26 Wharton '26 (D) Booth '26 (D) Yale '26 (D) CBS '26 (A$$$) Darden '26 (WL) HBS '26 (D) Ross '26 (A$$$$) LBS '26 (D) Tuck '26 (A$$) Kellogg '26 (A)
GMAT Focus 1: 715 Q90 V84 DI82
Posts: 388
26 Jun 2024, 20:23
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
67% (00:57) correct
33%
(01:07)
wrong
based on 282
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If |x| = -x, which of the following must be true?
A. x≥ 0
B. x≤ 0
C. x^2 > x
D. x^3 < 0
E. 2x < x
A. x≥ 0
B. x≤ 0
C. x^2 > x
D. x^3 < 0
E. 2x < x
27 Jun 2024, 07:54
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A. x ≥ 0: This is the opposite of what is true.
C. x^2 > x: This is not always true if x is negative. For example, (-2)^2 = 4, which is not greater than -2.
D. x^3 < 0: This is only true if x is negative.
E. 2x < x: This is only true if x is negative.
Why option B is correct
The absolute value of a number, |x|, is its distance from zero, so it's always zero or positive.
If |x| = -x, this means that -x must be zero or positive. The only way for a negative number to be non-negative is if it's zero.
Hope my answer helps
C. x^2 > x: This is not always true if x is negative. For example, (-2)^2 = 4, which is not greater than -2.
D. x^3 < 0: This is only true if x is negative.
E. 2x < x: This is only true if x is negative.
Why option B is correct
The absolute value of a number, |x|, is its distance from zero, so it's always zero or positive.
If |x| = -x, this means that -x must be zero or positive. The only way for a negative number to be non-negative is if it's zero.
Hope my answer helps
01 Dec 2024, 03:10
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|x| = -x
=> x is non-positive
Example x = -3
|x| = |-3| = 3 = -x
=> x ≤ 0
So, Answer will be B
Hope it helps!
Watch the following video to MASTER Absolute Values
=> x is non-positive
Example x = -3
|x| = |-3| = 3 = -x
=> x ≤ 0
So, Answer will be B
Hope it helps!
Watch the following video to MASTER Absolute Values
07 Dec 2024, 23:26
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I don't understand why option C is not correct
