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# Is x >= 0 ?

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Intern
Joined: 05 Jan 2011
Posts: 3

Kudos [?]: 3 [0], given: 0

Is x >= 0 ? [#permalink]

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17 Jan 2011, 11:12
3
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Difficulty:

55% (hard)

Question Stats:

48% (00:53) correct 52% (00:48) wrong based on 179 sessions

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Is x >= 0 ?

(1) x^2 = 9x
(2) x = -|x|
[Reveal] Spoiler: OA

Kudos [?]: 3 [0], given: 0

Math Expert
Joined: 02 Sep 2009
Posts: 41893

Kudos [?]: 128823 [0], given: 12183

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17 Jan 2011, 11:22
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.
_________________

Kudos [?]: 128823 [0], given: 12183

Intern
Joined: 05 Jan 2011
Posts: 3

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17 Jan 2011, 11:39
Thanks Bunuel. I missed that X can be 0 in 2nd statement.

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Intern
Joined: 25 Oct 2015
Posts: 12

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Re: Is x >= 0 ? [#permalink]

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08 Jun 2017, 08:20
I have doubt related to 2nd statement...
we can easily say that x<=0 therefore answer to statement is x>=0 is No
statement is sufficient

what is wrong in this logic??

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Re: Is x >= 0 ?   [#permalink] 08 Jun 2017, 08:20
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