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

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.
x =(z-1)2 y =(z+1)2
选项
答案A
解析 The average of x and v is. Since you are given that x =(z - l)2 and y =(z + l)2, you can express Quantity A in terms of z as follows.

This expression can be simplified as follows.

= z2+l
In terms of z, Quantity A is z2 + 1. Since z2 + 1 is greater than z2 for all values of z, the correct answer is Choice A.
This explanation uses the following strategies.
Strategy 1: Translate from Words to an Arithmetic or Algebraic Representation
Strategy 5: Simplify an Arithmetic or Algebraic Representation
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本试题收录于： GRE QUANTITATIVE题库GRE分类
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