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If x and y are integers, is x > y?

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If x and y are integers, is x > y? [#permalink] New post 07 Dec 2012, 08:48
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If x and y are integers, is x > y?

(1) x + y > 0
(2) y^x < 0
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Re: If x and y are integers, is x > y? [#permalink] New post 07 Dec 2012, 08:55
If x and y are integers, is x > y?

(1) x + y > 0. Given that the sum of two numbers is greater than zero, but we cannot determine which one is greater. Not sufficient.

(2) y^x < 0. This statement implies that y is a negative number. Now, if y=-1 and x=1, then x>y BUT if y=-1 and x=-1, then x=y. Not sufficient.

(1)+(2) Since from (2) we have that y is a negative number, then -y is a positive number. Therefore from (1) we have that x>-y=positive, which means that x is a positive number. So, we have that x=positive>y=negative. Sufficient.

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Re: If x and y are integers, is x > y?   [#permalink] 07 Dec 2012, 08:55
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