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# If x>2 and y>-1, then

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Intern
Joined: 27 Mar 2019
Posts: 12
If x>2 and y>-1, then  [#permalink]

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17 Jul 2019, 03:36
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Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 13 sessions

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If x>2 and y>-1, then

A. xy>-2
B. xy<-2
C. -x>2y
D. x<2y
E. -x<2y

It is tempting to just multiply both parts of inequity and get xy>-2, however, as far as I know, we can multiply only if all sides of inequities are positive numbers. All of my attempts to solve it did not succeed.
Please, help me to understand a solution

By the way, we can not multiply here x and y, but we can add them up and get x+y>1, right?
Math Expert
Joined: 02 Sep 2009
Posts: 57074
Re: If x>2 and y>-1, then  [#permalink]

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17 Jul 2019, 03:38
plk wrote:
If x>2 and y>-1, then

A. xy>-2
B. xy<-2
C. -x>2y
D. x<2y
E. -x<2y

It is tempting to just multiply both parts of inequity and get xy>-2, however, as far as I know, we can multiply only if all sides of inequities are positive numbers. All of my attempts to solve it did not succeed.
Please, help me to understand a solution

By the way, we can not multiply here x and y, but we can add them up and get x+y>1, right?

Discussed here: https://gmatclub.com/forum/if-x-2-and-y ... fl=similar
_________________
Re: If x>2 and y>-1, then   [#permalink] 17 Jul 2019, 03:38
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