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# Is x<y?

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 8011
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02 Oct 2016, 03:44
00:00

Difficulty:

35% (medium)

Question Stats:

67% (01:13) correct 33% (01:10) wrong based on 193 sessions

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Is x<y?
1) x-y<-4
2) -2x>-2y

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03 Oct 2016, 11:09
3
Top Contributor
2
MathRevolution wrote:
Is x < y?
1) x - y < -4
2) -2x > -2y

Target question: Is x < y?

Statement 1: x - y < -4
Add y to both sides to get: x < y - 4
IMPORTANT: we know that y - 4 < y
So, we can combine y - 4 < y with x < y - 4 to get: x < y - 4 < y
From this we can conclude that x < y
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: -2x > -2y
Divide both sides of the inequality by -2 to get: x < y [aside: when we divide both sides of an inequality by a negative value, we must switch the direction of the inequality]
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

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02 Oct 2016, 04:42
3
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MathRevolution wrote:
Is x<y?
1) x-y<-4
2) -2x>-2y

Statement 1 says difference of x and y is negative, which implies x<y. Hence, sufficient.

Statement 2 says -2x > -2 y or -x > -y or x<y. Hence, sufficient.
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02 Oct 2016, 05:21
MathRevolution wrote:
Is x<y?
1) x-y<-4
2) -2x>-2y

It's an Inequality question, not Mixture problem. Edited.
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04 Oct 2016, 07:21
==> In the original condition, there are 2 variables, so C is likely to be the answer. As 1)=2), and in the case of 1), from x-y<-4<0, you get x-y<0, x<y, hence yes. The answer is D.
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15 Oct 2018, 07:25
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: Is x<y?   [#permalink] 15 Oct 2018, 07:25
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