BrentGMATPrepNow
Does w - v = 0?
(1) w² - v² = 0
(2) wv < 0
Target question: Does w - v = 0? This is a good candidate for rephrasing the target question.
If we add v to both sides of the target question, we get...
REPHRASED target question: Does w = v? Aside: Here’s a video with tips on rephrasing the target question: https://www.gmatprepnow.com/module/gmat-data-sufficiency?id=1100 Statement 1: w² - v² = 0 There are infinitely many values of w and v that satisfy statement 1. Here are two:
Case a: w = 3 and v = 3. In this case, the answer to the REPHRASED target question is
YES, w equals vCase b: w = 3 and v = -3. In this case, the answer to the REPHRASED target question is
NO, w does not equal vSince we can’t answer the
target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: wv < 0If wv is negative, then one value (w or v) is POSITIVE, and the other value is NEGATIVE.
Since w and v are
different signs,
w and v cannot be equalSince we can answer the
target question with certainty, statement 2 is SUFFICIENT
Answer: BCheers,
Brent