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, y, and z are the lengths of the sides of a triangle.
选项
答案A
解析 In this question, you are comparing x + y + z with 2z. By subtracting z from both quantities, you can see that this is the same as comparing x + y with z. Since x, y, and z are the lengths of the sides of a triangle, and in all triangles the length of each side must be less than the sum of the lengths of the other two sides, it follows that z < x + y. Thus the correct answer is Choice A.
This explanation uses the following strategies.
Strategy 1: Translate from Words to an Arithmetic or Algebraic Representation
Strategy 8: Search for a Mathematical Relationship
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本试题收录于： GRE QUANTITATIVE题库GRE分类
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