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DS OG - inequalities

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Intern
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Joined: 19 Jan 2009
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DS OG - inequalities [#permalink]

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New post 03 Feb 2009, 05:35
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E

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What would be the best algebraich way to slove this question?
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SVP
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Re: DS OG - inequalities [#permalink]

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New post 03 Feb 2009, 07:14
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jairus wrote:
What would be the best algebraich way to slove this question?

For (x-y)/(x+y) > 1



Case1: either x-y > x+y and x>y and x > -y. That means, y < 0 and x > y and x > -y

or,
Case2: x-y < x+y and x < y and x < -y. That means, y > 0 and x < y and x < -y

Clearly stmt 1 and stmt2 do not provide such information.

Hence, answer should be E.
Manager
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Joined: 04 Jan 2009
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Re: DS OG - inequalities [#permalink]

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New post 03 Feb 2009, 09:18
jairus wrote:
What would be the best algebraich way to slove this question?

Clearly x+y is not equal to zero.

Let us check if (x-y)/(x+y)>1
Assume that (x+y)>0.
Then
(x-y)>(x+y) if y<0.

Clearly if y<0 and x>0 the ineuqality holds if (x+y)>0.
If(x+y)<0
check if (x-y)<x+y. For this to be true y>0.
Thus, insufficient.

E.

Missing piece is x>-y. This is needed to complete the problem.
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tusharvk

Re: DS OG - inequalities   [#permalink] 03 Feb 2009, 09:18
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