Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given,

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问题 Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the following four answer choices:
(A)Quantity A is greater.
(B)Quantity B is greater.
(C)The two quantities are equal.
(D)The relationship cannot be determined from the information given.
A symbol that appears more than once in a question has the same meaning throughout the question.

选项

答案D

解析 To compare |m + 25| with 25 - m, first note that because the absolute value of any quantity is greater than or equal to 0, it must be true that |m + 25|≥0 for all values of m. But you know that 25 - m is less than 0 when m is greater than 25. So Quantity A is greater than Quantity B when m > 25.
On the other hand, both |m + 25| and 25 - m are equal to 25 when m = 0. So in one case Quantity A is greater than Quantity B, and in the other case the two quantities are equal. Thus the correct answer is Choice D.
This explanation uses the following strategies.
Strategy 11: Divide into Cases
Strategy 13: Determine Whether a Conclusion Follows from the Information Given
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本试题收录于: GRE QUANTITATIVE题库GRE分类
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