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# What is the value of |x| ?

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Joined: 28 Feb 2012
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What is the value of |x| ?  [#permalink]

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Updated on: 25 May 2012, 00:51
3
11
00:00

Difficulty:

35% (medium)

Question Stats:

56% (00:31) correct 44% (00:27) wrong based on 689 sessions

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What is the value of |x| ?

(1) x = –|x|
(2) x^2 = 4

Originally posted by sandal85 on 24 May 2012, 21:24.
Last edited by Bunuel on 25 May 2012, 00:51, edited 1 time in total.
Edited the question
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Re: What is the value of |x| ?  [#permalink]

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25 May 2012, 00:55
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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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Re: What is the value of |x| ?  [#permalink]

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31 May 2012, 11:06
|x| ~ x^2 hence, its easy to solve
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Re: What is the value of |x| ?  [#permalink]

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05 Dec 2012, 02:57
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]

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29 Apr 2013, 11:18
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Trap: The question ask abt IxI not X
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Re: What is the value of |x| ?  [#permalink]

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07 Sep 2016, 07:57
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sandal85 wrote:
What is the value of |x| ?

(1) x = –|x|
(2) x^2 = 4

We need to determine the value of |x|.

Statement One Alone:

x = -|x|

If x = -|x|, then x must be either zero or negative. However, we still do not have enough information to determine the value of |x|.

Statement Two Alone:

x^2 = 4

If x^2 = 4, then x is either 2 or -2.

If x = 2, then |x| = |2| = 2. If x = -2, then |x| = |-2| = 2. Either way |x| = 2.

Statement two alone is sufficient.

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Re: What is the value of |x| ?  [#permalink]

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21 Nov 2017, 05:22
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