Is x + |x| zero for all negative x ? : GMAT Quantitative Section
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# Is x + |x| zero for all negative x ?

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Is x + |x| zero for all negative x ? [#permalink]

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19 Sep 2013, 08:50
If y = x + |x|, then is y=0 for all x<=0 ??
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Re: Is x + |x| zero for all negative x ? [#permalink]

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19 Sep 2013, 08:57
gmatter0913 wrote:
If y = x + |x|, then is y=0 for all x<=0 ??

Since x<=0, then |x|=-x, thus y = x + |x| = x - x = 0.
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Re: Is x + |x| zero for all negative x ? [#permalink]

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19 Sep 2013, 22:52
Hi,

X will be also be negative.If x = -2 then |x| = -2 and x + |x| = -2 + (-2) = -4?? Please explain me.
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Re: Is x + |x| zero for all negative x ? [#permalink]

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19 Sep 2013, 23:18
nroy347 wrote:
Hi,

X will be also be negative.If x = -2 then |x| = -2 and x + |x| = -2 + (-2) = -4?? Please explain me.

|-2| = 2, so if x=-2, then y = x + |x| = -2 + 2 = 0.
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Re: Is x + |x| zero for all negative x ?   [#permalink] 19 Sep 2013, 23:18
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# Is x + |x| zero for all negative x ?

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