Bunuel
If s and t are positive, is s/t less than st ?
(1) s² > 1
(2) t² > 1
Given: s and t are positive Target question: Is s/t less than st?In other words:
Is s/t < st?This is a great candidate for
rephrasing the target question. Since we're told that t is POSITIVE, we can multiply both sides of the inequality by t to get:
Is s < st²?Since we're told that s is POSITIVE, we can divide both sides of the inequality by s to get:
Is 1 < t²?REPHRASED target question: Is 1 < t²?Aside: the video below has tips on rephrasing the target question Statement 1: s² > 1 Since we have no information about t, there's no way to answer the
REPHRASED target question with certainty
Statement 1 is NOT SUFFICIENT
Statement 2: t² > 1Perfect!
The answer to the REPHRASED target question is
YES, it's true that 1 < t²Since we can answer the
REPHRASED target question with certainty, statement 2 is SUFFICIENT
Answer: B
Cheers,
Brent
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