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If x is positive, is x² < x?
(1) 1/10 < x < 2/5
(2) x³ < x²
Given: x is positive Target question: Is x² < x?This is a great candidate for
rephrasing the target question.
Below is a video with tips on rephrasing the target questionSince x is POSITIVE, we can safely take the inequality
x² < x and divide both sides by x to get:
x < 1REPHRASED target question: Is x < 1? Statement 1: 1/10 < x < 2/5 This means x is definitely less than 1
So, the answer to the REPHRASED target question is
YES, it IS the case than x < 1Since we can answer the
REPHRASED target question with certainty, statement 1 is SUFFICIENT
Statement 2: x³ < x²Since we can be certain that x² is POSITIVE, we can safely divide both sides by x² to get: x < 1
So, the answer to the REPHRASED target question is
YES, it IS the case than x < 1Since we can answer the
REPHRASED target question with certainty, statement 2 is SUFFICIENT
Answer: D
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