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# What is the value of |x| ?

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What is the value of |x| ? [#permalink]  24 May 2012, 20:24
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Difficulty:

25% (medium)

Question Stats:

50% (01:31) correct 50% (00:25) wrong based on 430 sessions
What is the value of |x| ?

(1) x = –|x|
(2) x^2 = 4
[Reveal] Spoiler: OA

Last edited by Bunuel on 24 May 2012, 23:51, edited 1 time in total.
Edited the question
Math Expert
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Re: What is the value of |x| ? [#permalink]  24 May 2012, 23:55
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Expert's post
What is the value of |x| ?

(1) x = –|x| --> $$|x|=-x$$ means that $$x\leq{0}$$. Not sufficient.

(2) x^2 = 4 --> $$|x|=2$$ ($$x=2$$ or $$x=-2$$ --> in either case $$|x|=2$$). Sufficient.

Hope it's clear.
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Senior Manager
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Re: What is the value of |x| ? [#permalink]  31 May 2012, 10:06
|x| ~ x^2 hence, its easy to solve
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Senior Manager
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Re: What is the value of |x| ? [#permalink]  05 Dec 2012, 01:57
What is the value of |x| ?

(1) x = –|x|
x + |x| = 0 means that x could be 0 or x <0. INSUFFICIENT!

(2) x^2 = 4
$$\sqrt{x^2}=|x|=2$$. SUFFICIENT!
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Re: What is the value of |x| ? [#permalink]  29 Apr 2013, 10:18
Trap: The question ask abt IxI not X
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Re: What is the value of |x| ? [#permalink]  16 May 2014, 06:31
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: What is the value of |x| ?   [#permalink] 16 May 2014, 06:31
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