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Inequalities

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
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Inequalities

by piyush2694 » Thu Dec 20, 2018 9:18 am
piyush2694 wrote:Is x^2 > y^2?

(1) x^2 − x > y^2 − y

(2) x > y
OA: C
Last edited by piyush2694 on Thu Dec 20, 2018 9:44 am, edited 1 time in total.
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by benjaminmesh76 » Thu Dec 20, 2018 9:33 am
piyush2694 wrote:Is x^2 > y^2?

(1) x^2 − x > y^2 − y

(2) x > y

Why cant it be B?
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by Brent@GMATPrepNow » Thu Dec 20, 2018 11:45 am
benjaminmesh76 wrote:
piyush2694 wrote:Is x² > y²?

(1) x² − x > y² − y

(2) x > y
Why cant it be B?
Target question: Is x² > y²?

Statement 2: x > y
There are several values of x and y that satisfy statement 2. Here are two:
Case a: x = 2 and y = 1. In this case, x² = 4 and y² = 1. So, the answer to the target question is YES, x² IS greater than y²
Case b: x = -2 and y = -3. In this case, x² = 4 and y² = 9. So, the answer to the target question is NO, x² is NOT greater than y²
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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