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1) insuff. 4 cases. a)y>0 and y<x answer is yes b)y>0 and y>x answer is yes c)y<0 and absolute value y>x answer is yes d)y<0 and absolute value y<x answer is no 2)insuff 4 cases a and b is like the above where is x>0 and answer is yes c)x<0 and y<x answer is yes d)x<0 and y>x answer is no

together x>0 and y<0 insuff depends on the comparison between the absolute value of y and x.

Re: Is (x-y)/ (x+y) < 1 1) x > 0 2) y < 0 [#permalink]

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09 Oct 2013, 08:53

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Is \(\frac{x-y}{x+y}>1\)? --> Is \(0>1-\frac{x-y}{x+y}\)? --> Is \(0>\frac{x+y-x+y}{x+y}\)? --> Is \(0>\frac{2y}{x+y}\)?

(1) \(x>0\) --> Not sufficient.

(2) \(y<0\) --> Not sufficient.

(1)+(2) \(x>0\) and \(y<0\) --> numerator (y) is negative, but we cannot say whether the denominator {positive (x)+negative (y)} is positive or negative. Not sufficient.

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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