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If x and y are integers

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If x and y are integers  [#permalink]

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New post 28 Jul 2017, 10:35
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If x and y are integers and x > 0, is y > 0?
(1) 7x – 2y > 0
(2) -y < x

this question has a lot of ambiguity with the answer . Can someone please help.
My answer is B since the statement clearly states that -y<x the y must be positive for this inequality to hold good.

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Re: If x and y are integers  [#permalink]

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New post 28 Jul 2017, 23:25
longhaul123 wrote:
If x and y are integers and x > 0, is y > 0?
(1) 7x – 2y > 0
(2) -y < x

this question has a lot of ambiguity with the answer . Can someone please help.
My answer is B since the statement clearly states that -y<x the y must be positive for this inequality to hold good.


Statement tells you x and y cannot be zero. It does not tell you which of them is greater than zero.

say x = 2
y = -1

-y < x holds as -(-1) < 2

However, if x = 2 and y = 1, (2) still holds.

So it is not deterministic. Can you elaborate the confusion further. BTW, you can read more about this question in older threads below.

https://gmatclub.com/forum/if-x-and-y-a ... 52-60.html
https://gmatclub.com/forum/if-x-and-y-a ... 41862.html
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Re: If x and y are integers  [#permalink]

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New post 29 Jul 2017, 01:39
longhaul123 wrote:
If x and y are integers and x > 0, is y > 0?
(1) 7x – 2y > 0
(2) -y < x

this question has a lot of ambiguity with the answer . Can someone please help.
My answer is B since the statement clearly states that -y<x the y must be positive for this inequality to hold good.


This question is here: if-x-and-y-are-integers-and-x-0-is-y-100866.html Please do not re-post existing questions.

As for the OA, it's E.

If \(y=0\) and \(x\) is any positive integer both statements hold true and the answer to the question is NO.
If \(y=1\) and \(x=2\) again both statements hold true and the answer to the question is YES.
Two different answers. Not sufficient.

Answer: E.

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.


If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Re: If x and y are integers   [#permalink] 29 Jul 2017, 01:39
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If x and y are integers

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