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.
选项
答案A
解析 To compare x with -2, you should first solve the equation= 0 for x.
To solve the equation, recall that a fraction a/b is equal to 0 only if a = 0 and b ≠ 0.
So the fractionis equal to 0 only if x(x - 2)is equal to 0 and (x + 3)(x - 4)2 is not equal to 0. Note that the only values of x for which x(x - 2)= 0 are x = 0 and x = 2, and for these two values,(x + 3)(x-4)2 is not equal to 0. Therefore the only values of x for which the fractionis equal to 0 are x = 0 and x = 2. Since both 0 and 2 are greater than Quantity B, -2, the correct answer is Choice A.
This explanation uses the following strategy.
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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