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# If x > y, is zx > yx?

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Intern
Joined: 23 Jul 2012
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Concentration: Finance, Strategy
GMAT 1: 560 Q37 V28
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WE: Accounting (Accounting)
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If x > y, is zx > yx? [#permalink]  30 Jul 2012, 18:13
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66% (02:16) correct 34% (01:02) wrong based on 96 sessions
If x > y, is zx > yx?

(1) z > 0

(2) y < 0
[Reveal] Spoiler: OA
Math Expert
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Re: If x > y, is zx > yx? [#permalink]  31 Jul 2012, 00:13
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Expert's post
If x > y, is zx > yx?

Is $$zx > yx$$? --> is $$zx-yx>0$$? --> is $$x(z-y) >0$$?

(1) z > 0. Clearly insufficient.

(2) y < 0. Clearly insufficient.

(1)+(2) Now, remember that we can subtract inequalities with the signs in opposite direction --> subtract (2) from (1): $$z-y>0$$. So, we know that the second multiply in $$x(z-y)$$ is positive, but we still don't know the sign of $$x$$: from the stem ($$x>y$$) and the second statement ($$y<0$$) the only thing we can deduce is that $$x$$ is greater than negative number $$y$$, hence $$x$$ could be negative, positive or zero. Not sufficient.

Hope it's clear.
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Re: If x > y, is zx > yx? [#permalink]  31 Jul 2012, 01:03
Its E.. bt i got c ..then i realized we must knw what wud be the value of x ..and value of x is not given ...so its E..
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Re: If x > y, is zx > yx? [#permalink]  12 Dec 2013, 02:10
Hello from the GMAT Club BumpBot!

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).

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Re: If x > y, is zx > yx? [#permalink]  23 Dec 2013, 18:57
Does anyone have advice on how to tackle these problems faster? I always end up resorting to plugging in numbers and various conditions and even though that helps me ensure more accuracy, it usually takes me about 3 min. per such problem (inequalities with only variables).
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Re: If x > y, is zx > yx? [#permalink]  07 Jul 2015, 08:51
Hello from the GMAT Club BumpBot!

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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Re: If x > y, is zx > yx?   [#permalink] 07 Jul 2015, 08:51
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