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

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Senior Manager
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Joined: 15 May 2011
Posts: 254
Location: Costa Rica
Concentration: Healthcare, International Business
GMAT 1: 710 Q42 V45
GMAT 2: 740 Q48 V42
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Re: What is x? (1) |x| < 2 (2) |x| = 3x – 2  [#permalink]

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New post 10 Jul 2011, 03:18
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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New post 25 Nov 2017, 10:54
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

Answer: B.

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Re: What is x? (1) |x| < 2 (2) |x| = 3x – 2 &nbs [#permalink] 25 Nov 2017, 10:54

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