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X / |X| < x What must be true about X? x > 1 x > -1

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SVP
Joined: 29 Aug 2007
Posts: 2492
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17 Dec 2007, 23:39
walker wrote:
B

X / |X| < X, X e (-1,0)&(1,+∞)

Therefor X>-1 cover all X satisfied the inequality.

guruji,

how is "X/|X| < X" possible if x = 1/2?

thanks for torching me with your
CEO
Joined: 17 Nov 2007
Posts: 3589
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
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18 Dec 2007, 03:31
GMAT TIGER wrote:
how is "X/|X| < X" possible if x = 1/2?

There is a trick in question. the q. says "X/|X| < X" is always true (!).
it is possible only if x is of (-1,0)&(1,+∞). therefore we should find condition that covers all range.

x > 1 is not include (-1,0) - is inappropriate.
x > -1 - is appropriate, covers all range.
|X| < 1 is not include (1,+∞) - is inappropriate.
|X| = 1 is not include all range (-1,0)&(1,+∞) - is inappropriate.
|X|^2 > 1 is not include (-1,0) - is inappropriate.
18 Dec 2007, 03:31

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