Let's take each statement one by one.Vincen wrote:What is x?
(1) |x| < 2
(2) |x| = 3x - 2
[spoiler]OA=B[/spoiler]
Source: Manhattan GMAT
(1) |x| < 2
x can have many possible values such as 0, ±1, ±1.5, etc. Insufficient.
(2) |x| = 3x - 2
Say x = 3x - 2, then we have x = 1.
Again, say x = -(3x - 2), then we have x = 1/2. However, x = 1/2 is an invalid value since at x = 1/2, the value of 3x - 2 = 3*1/2 - 2 = -1/2, which is negative. Note that 3x - 2 = |x|, which is positive. So we must discard this.
Thus, x =1. Sufficient
The correct answer: B
Hope this helps!
-Jay
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