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# If 2|2 –x| = 5, what is the sum of all the possible values

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If 2|2 –x| = 5, what is the sum of all the possible values [#permalink]

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15 Aug 2012, 10:28
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If 2|2 –x| = 5, what is the sum of all the possible values for x ?

A. 1/2
B. 2
C. 5/2
D. 4
E. 5
[Reveal] Spoiler: OA

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Re: If 2|2 –x| = 5, what is the sum of all the possible values f [#permalink]

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15 Aug 2012, 11:17
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if x<2, then 2-x=5/2; x=-1/2
if x>2 , then x-2=5/2; x=9/2

9/2-1/2=8/2=4
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Re: If 2|2 –x| = 5, what is the sum of all the possible values f [#permalink]

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15 Aug 2012, 11:34
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DelSingh wrote:
If 2|2 –x| = 5, what is the sum of all the possible values for x ?

a.1/2
b.2
c.5/2
d.4
e.5

The given equation can also be written as $$|2-x|=\frac{5}{2},$$ which means that $$x$$ is at distance $$5/2$$ from $$2$$.
One solution is $$2 + 5/2$$, the other one $$2 - 5/2$$.
Their sum gives $$4$$.

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Re: If 2|2 –x| = 5, what is the sum of all the possible values [#permalink]

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10 Nov 2013, 00:35
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Re: If 2|2 –x| = 5, what is the sum of all the possible values [#permalink]

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18 Feb 2015, 23:16
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 2|2 –x| = 5, what is the sum of all the possible values   [#permalink] 18 Feb 2015, 23:16
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