Is x >= 0 ? : GMAT Data Sufficiency (DS)
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# Is x >= 0 ?

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Is x >= 0 ? [#permalink]

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17 Jan 2011, 10:12
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Difficulty:

55% (hard)

Question Stats:

49% (01:51) correct 51% (00:50) wrong based on 99 sessions

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Is x >= 0 ?

(1) x^2 = 9x
(2) x = -|x|
[Reveal] Spoiler: OA
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17 Jan 2011, 10:22
KrishnaK wrote:
Is X >= 0 ?

1) X^2 = 9X
2) X = - |X|

The OA is
[Reveal] Spoiler:
A

Is $$x\geq{0}$$?

(1) x^2 = 9x --> $$x(x-9)=0$$ --> either $$x=0$$ or $$x=9$$, in any case the answer to the question "is $$x\geq{0}$$?" will be YES. Sufficient.

(2) x = - |x| --> $$x$$ can be zero (as $$0=-|0|$$) and in this case answer will be YES or $$x$$ can be any negative number (for example -1, as $$-1=-|-1|$$) and the answer will be NO. Not sufficient.

Hope it's clear.
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17 Jan 2011, 10:39
Thanks Bunuel. I missed that X can be 0 in 2nd statement.
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# Is x >= 0 ?

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