SSAT Math Question 223: Answer and Explanation

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Question: 223

7. If 0 < x < 1, which of the following inequalities is correct?

A. < x < x²
B. x² < x <
C. x < x² <
D. < x² < x

Correct Answer: B

Explanation:

The answer is B

When a fraction between 0 and 1 is raised to a power greater than 1, the fraction becomes smaller. Likewise, when a root is taken of a fraction between 0 and 1, the fraction becomes larger. Thus, x² < x < .

Plug in a number for x. If x = , then , and . Only choice (B) provides the correct range of the values.

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