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Is x less than y? (1) x-y+1<0 (2) x-y-1<0 any guesses?

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Manager
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Is x less than y? (1) x-y+1<0 (2) x-y-1<0 any guesses? [#permalink] New post 07 Dec 2009, 14:37
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100% (01:42) correct 0% (00:00) wrong based on 1 sessions
Is x less than y?
(1) x-y+1<0
(2) x-y-1<0

any guesses??
Expert Post
CEO
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Joined: 17 Nov 2007
Posts: 3573
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
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Re: Is x less than y? [#permalink] New post 08 Dec 2009, 04:51
Expert's post
x<y ? ---> x-y < 0 ?

1) x-y + 1 < 0 ---> x-y < -1 sufficient
2) x-y -1 < 0 ---> x-y <1 insufficient

A
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Senior Manager
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Re: Is x less than y? [#permalink] New post 08 Dec 2009, 06:01
A.
(i)x-y+1<0....y>x+1 so sufficient
(ii)x-y-1<0...y+1>x so insufficient
Expert Post
SVP
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Re: Is x less than y? [#permalink] New post 08 Dec 2009, 18:39
Expert's post
Is x less than y?
(1) x-y+1<0
(2) x-y-1<0

(1) Sufficient. After some manipulation, we arrive at the inequality x+1<y. If y is bigger than x+1 (a number bigger than x), then it also holds that y is bigger than x.

(2) Insufficient. The inequality can also be stated as x<y+1. Y could very well be bigger than x, but it's also possible that y is not bigger. We are not sure what role the additional 1 plays in this inequality. For instance, in the inequality 10< 25+1, the "+1" doesn't matter. Y is still bigger than x. However, if 2.5<2+1, we see that "+1" determines the direction of the inequality sign and that y is actually smaller than x.

Hence, A is correct.
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Re: Is x less than y?   [#permalink] 08 Dec 2009, 18:39
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