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by Ian Stewart » Thu Oct 07, 2010 12:02 pm
blaster wrote:What is x?

(1) |x| < 2

(2) |x| = 3x - 2
Statement 1 is clearly insufficient. From Statement 2, we have

|x| = 3x - 2

If x were negative, then 3x - 2 would be negative, but if 3x - 2 is negative, it can't possibly be equal to |x|. So x must be greater than or equal to zero, in which case |x| = x. So we can rewrite our equation as x = 3x - 2, and we can solve for x (we find that x = 1). So the answer is B.
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