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DS - Inequality

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goldeneagle94
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DS - Inequality [#permalink] New post   03 May 2009, 16:16
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A
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C
D
E

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 Q51  V47
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Re: DS - Inequality [#permalink] New post   03 May 2009, 16:52
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S2 is clearly insufficient alone.

S1 will always be true if x is negative and y is positive, in which case xy < 0. S1 can also be true when both x and y are positive, or when both are negative (e.g. take x = 2 and y = 1), in which case xy > 0. So S1 is insufficient.

Taken together, if x > 0, then 1/x > 0. Since 1/y > 1/x > 0, y must also be positive, and xy must be positive. So we can answer the question, and the answer is 'no'. C.
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Re: DS - Inequality [#permalink] New post   03 May 2009, 17:08
IanStewart wrote:
goldeneagle94 wrote:
Need help for this as well.


Is ab < 0 ???

1) (a/b) > 1

2) a > 0


Please help solve this.
thanks.


S2 is clearly insufficient alone. From S1, we know that a/b is positive. If a/b is positive, then a and b must have the same sign - both positive or both negative. Either way, ab is also positive, so we can answer the question: the answer is 'no'. A.



Thanks for replying Ian,
I appreciate your help.


The question is similar to the one in Quotes.

Statement 1 can also be simplified like this
(1/x) < (1/y)
1 < (x/y) (multiplying both sides by x)
(x/y) > 1

If the above is correct, then it is the same question as in Quotes.
Then, How can we have Two different answers ???
I have tried and could not get over this.
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IanStewart
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Re: DS - Inequality [#permalink] New post   03 May 2009, 18:28
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goldeneagle94 wrote:
The question is similar to the one in Quotes.

Statement 1 can also be simplified like this
(1/x) 1[/color][/size]

If the above is correct, then it is the same question as in Quotes.
Then, How can we have Two different answers ???
I have tried and could not get over this.


You can't multiply both sides by x here; you don't know if x is positive or negative. If x is negative, you'd need to reverse the inequality after multiplying on both sides by x. Once you know (from Statement 2) that x is positive, then you can multiply on both sides, and it becomes like the other question you posted.



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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
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gmatclubot
Re: DS - Inequality [#permalink]
03 May 2009, 18:28
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