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If |x+2|=4, what is the value of x ?

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If |x+2|=4, what is the value of x ? [#permalink] New post 11 Mar 2012, 06:30
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If |x+2|=4, what is the value of x ?

(1) x^2 is different from 4
(2) x^2 = 36
[Reveal] Spoiler: OA

Last edited by Bunuel on 11 Mar 2012, 09:30, edited 1 time in total.
Moved to PS subforum.
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Re: GMAT prep problem [#permalink] New post 11 Mar 2012, 09:27
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If |x+2|=4, what is the value of x ?

\(|x+2|=4\) --> \(x=2\) or \(x=-6\).

(1) x^2 is different from 4 --> \(x^2\neq{4}\) --> \(x\neq{2}\) (and \(x\neq{-2}\)), so \(x=-6\). Sufficient.

(2) x^2 = 36 --> \(x=6\) or \(x=-6\), so \(x=-6\). Sufficient.

Answer: D.
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Re: If |x+2|=4, what is the value of x ? [#permalink] New post 11 Mar 2012, 10:16
Thanks Bunuel for your continuous assistance.
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Re: If |x+2|=4, what is the value of x ? [#permalink] New post 04 Jul 2013, 00:24
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Bumping for review and further discussion*. Get a kudos point for an alternative solution!

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Re: If |x+2|=4, what is the value of x ? [#permalink] New post 08 Jul 2013, 15:46
If |x+2|=4, what is the value of x ?
x=2, x=-6

(1) x^2 is different from 4
x^2 is different from 4
(The wording is a bit ambiguous, but I take it to mean that x^2 DOESN'T EQUAL 4)
we have two values for x, x=-6 and x=2.
When x=2, then x^2 = 4 which is invalid.
When x=-6 then x^2 = 36 which is valid.
x=6
SUFFICIENT

(2) x^2 = 36
x=-6, x=6
(plug both x values into the stem)
|x+2|=4
|-6+2|=4
|-4|=4
4=4 VALID
|x+2|=4
|6+2|=4
|8|=4
8=4 INVALID

There is only one valid answer for #2.
SUFFICIENT

(D)
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Re: If |x+2|=4, what is the value of x ? [#permalink] New post 21 Dec 2014, 06:16
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Re: If |x+2|=4, what is the value of x ?   [#permalink] 21 Dec 2014, 06:16
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