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GMATPrep question

by MonicaKhan » Sun Apr 22, 2007 3:33 pm
Any help on the following question would be greatly appreciated. Thank you.

If x and y are integers and x > 0, is y > 0?

(1) 7x - 2y > 0
(2) -y < x

I think both statements are independently sufficient to answer the question, and so I believe the answer is D, but the answer is apparently E.
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Re: GMATPrep question

by jayhawk2001 » Sun Apr 22, 2007 5:27 pm
MonicaKhan wrote:Any help on the following question would be greatly appreciated. Thank you.

If x and y are integers and x > 0, is y > 0?

(1) 7x - 2y > 0
(2) -y < x

I think both statements are independently sufficient to answer the question, and so I believe the answer is D, but the answer is apparently E.
1 - insufficient.
7x-2y > 0
7x > 2y
y < 7x/2

x is positive, so y can take either positive or negative values

2 - insufficient.
-y < x
y > -x
Take x = 2, y can take -1 or +1. Hence insufficient

So, E is the answer.
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