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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]

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11 Mar 2012, 07:30
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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, 10:30, edited 1 time in total.
Moved to PS subforum.

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11 Mar 2012, 10:27
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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.

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Re: If |x+2|=4, what is the value of x ? [#permalink]

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11 Mar 2012, 11:16
Thanks Bunuel for your continuous assistance.

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Re: If |x+2|=4, what is the value of x ? [#permalink]

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04 Jul 2013, 01:24
Bumping for review and further discussion*. Get a kudos point for an alternative solution!

*New project from GMAT Club!!! Check HERE

Theory on Abolute Values: math-absolute-value-modulus-86462.html

DS Abolute Values Questions to practice: search.php?search_id=tag&tag_id=37
PS Abolute Values Questions to practice: search.php?search_id=tag&tag_id=58

Hard set on Abolute Values: inequality-and-absolute-value-questions-from-my-collection-86939.html

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Re: If |x+2|=4, what is the value of x ? [#permalink]

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08 Jul 2013, 16:46
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]

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21 Dec 2014, 07:16
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: If |x+2|=4, what is the value of x ? [#permalink]

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18 Sep 2016, 05:13
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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Re: If |x+2|=4, what is the value of x ?   [#permalink] 18 Sep 2016, 05:13
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