Is |x-1|<1 for all integers x ? : GMAT Data Sufficiency (DS)
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# Is |x-1|<1 for all integers x ?

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Joined: 05 Feb 2013
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Is |x-1|<1 for all integers x ? [#permalink]

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05 Feb 2013, 13:14
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Question Stats:

61% (01:57) correct 39% (00:58) wrong based on 70 sessions

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Is |x-1|<1 for all integers x ?

(1) (x-1)^2 >1
(2) x<0
[Reveal] Spoiler: OA

Last edited by Bunuel on 06 Feb 2013, 00:08, edited 1 time in total.
Renamed the topic, edited the question and moved to DS forum.
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Kudos [?]: 93487 [0], given: 10563

Re: Is |x-1|<1 for all integers x ? [#permalink]

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06 Feb 2013, 00:15
Is |x-1|<1 for all integers x ?

Is |x-1|<1? --> is 0<x<2?

(1) (x-1)^2>1. Since both sides of the inequality are non-negative, then we can safely take the square root to get |x-1|>1. So, the answer to the question is NO. Sufficient.

(2) x<0. Sufficient.

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Re: Is |x-1|<1 for all integers x ?   [#permalink] 06 Feb 2013, 00:15
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