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

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New post 07 Dec 2009, 15:37
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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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Re: Is x less than y? [#permalink]

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New post 08 Dec 2009, 05:51
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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Re: Is x less than y? [#permalink]

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New post 08 Dec 2009, 07:01
Expert's post
A.
(i)x-y+1<0....y>x+1 so sufficient
(ii)x-y-1<0...y+1>x so insufficient
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Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

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Re: Is x less than y? [#permalink]

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New post 08 Dec 2009, 19:39
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, 19:39
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