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Is \(-3x > -3y ?\)

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Source: — Data Sufficiency |

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Re: Is \(-3x > -3y ?\)

by Brent@GMATPrepNow » Tue Dec 14, 2021 7:23 am
Gmat_mission wrote: ↑
Thu Aug 20, 2020 9:15 am
 Is \(-3x > -3y ?\)

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

Answer: A

Source: GMAT Prep
Target question: Is -3x > -3y ?
This is a good candidate for rephrasing the target question.
Take -3x > -3y
Divide both sides of the inequality by -3 to get: x < y [Since I divided both sides by a NEGATIVE number, I had to reverse the direction of the inequality symbol. See the video below for more information ]
REPHRASED target question: Is x < y?

Statement 1: x < y
Perfect!
The answer to the REPHRASED target question is a resounding YES!
Since we can answer the REPHRASED target question with certainty, statement 1 is SUFFICIENT

Statement 2: x > 0
Since no information about the value of y is provided, statement 2 is NOT SUFFICIENT

Answer: A
Brent Hanneson - Creator of GMATPrepNow.com
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