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# If x is not equal to 0, is |x| less than 1? (1) ( x / |x|)

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Manager
Joined: 02 Aug 2007
Posts: 220
Schools: Life
If x is not equal to 0, is |x| less than 1? (1) ( x / |x|)  [#permalink]

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07 Jan 2009, 23:10
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If x is not equal to 0, is |x| less than 1?

(1) ( x / |x|) x

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SVP
Joined: 29 Aug 2007
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Re: DS |x| < 1? - MGMAT CAT  [#permalink]

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07 Jan 2009, 23:17
1
x-ALI-x wrote:
If x is not equal to 0, is |x| less than 1?

(1) (x/|x|) x

1: (x/|x|) 1, x/lxl = 1, which is always 1. no.
if x is -ve fraction but > -1, x/lxl = -1, which is always -1. yes.
so not suff..

2: |x| > x

lxl is +ve. to have lxl > x, x has to be -ve but x could be >-1 or -1.
so x is -ve fraction. suff.

C.

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Re: DS |x| < 1? - MGMAT CAT &nbs [#permalink] 07 Jan 2009, 23:17
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