BTGmoderatorDC wrote: ↑Fri May 01, 2020 1:21 am
If -|x| = b, where b is a non-zero integer, which of the following statements can be true?
I. b < 0
II. x < -b
III. x > b
A) I only
B) II only
C) III only
D) I & II only
E) I, II & III
OA
E
Source: e-GMAT
So, we have –|x| = b. Since |x| is a non-negative number and it is, –|x| must be a non-positive number. However since b is a non-zero integer, we have –|x| a negative integer. This implies that b is a negative integer.
Let's take each statement one by one.
I. b < 0: This a must be true statement.
II. x < –b: This can be true. Say for example x = b = –1; thus, –b = 1, so we have –1 < 1. A valid result.
III. x > b: This can be true. Say for example x = 1 and b = –1; thus, 1 > –1. A valid result.
So all statements can be true.
The correct answer:
E
Hope this helps!
-Jay
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