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Is x-y+1 greater than x+y-1 ?

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Source: — Data Sufficiency |
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by GMATinsight » Mon Feb 18, 2019 10:47 pm
BTGmoderatorDC wrote:Is x-y+1 greater than x+y-1 ?

(1) x > 0
(2) y < 0

OA B

Source: GMAT Prep
Question : Is x-y+1 > x+y-1 ?

Question : Is 2y < 2?

Question : Is y < 1?

Statement 1: x > 0
NOT SUFFICIENT

Statement 2: y < 0

i.e. y is NOT greater than 1 hence

SUFFICIENT

Answer: Option B
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by Brent@GMATPrepNow » Tue Feb 19, 2019 6:29 am
BTGmoderatorDC wrote:Is x-y+1 greater than x+y-1 ?

(1) x > 0
(2) y < 0
Target question: Is x - y + 1 > x + y - 1 ?
This is a good candidate for rephrasing the target question.

Take: x - y + 1 > x + y - 1
Subtract x from both sides to get: -y + 1 > y - 1
Add y to both sides to get: 1 > 2y - 1
Add 1 to both sides to get: 2 > 2y
Divide both sides by 2 to get: 1 > y
REPHRASED target question: Is y < 1?

Aside: Here's a video with tips on rephrasing the target question: https://www.gmatprepnow.com/module/gmat- ... cy?id=1100

Statement 1: x > 0
Since we have no information about y, we cannot answer the REPHRASED target question with certainty
Statement 1 is NOT SUFFICIENT

Statement 2: y < 0
In other words, y is NEGATIVE
If is NEGATIVE, then y is definitely less than 1
So, the answer to the REPHRASED target question is YES, y IS less than 1
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Answer: B

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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