Is x^2 < x-|y| ? 1) y>x 2) x<0 : GMAT Data Sufficiency (DS)
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# Is x^2 < x-|y| ? 1) y>x 2) x<0

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Intern
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Is x^2 < x-|y| ? 1) y>x 2) x<0 [#permalink]

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28 Aug 2011, 01:19
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Is x^2 < x-|y| ?
1) y>x
2) x<0
Intern
Status: IT industry - Project Manager
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Kudos [?]: 2 [0], given: 0

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28 Aug 2011, 06:18
it should be D.
1) Since Y is greater than x, so x-|y| will mean that it is negative. and x^2 is always positive and hence definite answer.
2) Since x< 0 LHS is +ve and RHS is -ve. Definite answer.
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30 Aug 2011, 18:27
is x^2< x- y? when y>=0

is x^2<x+y? when y<0

1. Sufficient

y>x

when y>=0 , y>x

=>x-y<0 and x^2 is always positive . No

when y<0 , x<y<0

=> x+y<0 and x^2 is always positive . No

2. Sufficient
x<0
=> x-|y|<0 as |y| is always positive

x^2<x-|y|? No

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30 Aug 2011, 23:45
St1: y> x => x - |y| is always -ve .
But x^2 >= 0 Hence we have a definitive answer i.e x^2 < x - |y| is false.

St2: x < 0 => x - |y| => -ve - ( +ve) => -ve
But x^2 >=0 Hence we have a definitive answer i.e x^2 < x - |y| is false.

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CR notes
http://gmatclub.com/forum/massive-collection-of-verbal-questions-sc-rc-and-cr-106195.html#p832142
http://gmatclub.com/forum/1001-ds-questions-file-106193.html#p832133
http://gmatclub.com/forum/gmat-prep-critical-reasoning-collection-106783.html
http://gmatclub.com/forum/how-to-get-6-0-awa-my-guide-64327.html
http://gmatclub.com/forum/how-to-get-6-0-awa-my-guide-64327.html?hilit=chineseburned

Re: Doubtful   [#permalink] 30 Aug 2011, 23:45
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