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# What is x? (1) |x| < 2 (2) |x| = 3x – 2

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Joined: 14 May 2011
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Re: What is x? (1) |x| < 2 (2) |x| = 3x – 2  [#permalink]

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10 Jul 2011, 02:18
great question, thanks Ankit & Karishma. One tends to ignore the original limitation that one puts on the sign of x while calculating that's why all of us got trapped with the wrong answer E at first glance.
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Re: What is x? (1) |x| < 2 (2) |x| = 3x – 2  [#permalink]

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25 Nov 2017, 09:54
Bull78 wrote:
What is x?

(1) |x| < 2

(2) |x| = 3x – 2

What is x?

(1) |x| < 2 --> $$-2<x<2$$. Not sufficient.

(2) |x| = 3x – 2 --> LHS is an absolute value, which is always non negative, hence RHS must also be non-negative: $$3x-2\geq{0}$$ --> $$x\geq{\frac{2}{3}}$$ --> $$x$$ positive, so $$|x|=x$$ --> $$x=3x-2$$ --> $$x=1$$. Sufficient

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Re: What is x? (1) |x| < 2 (2) |x| = 3x – 2   [#permalink] 25 Nov 2017, 09:54

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