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  3. Compare Quantity A and Quantity B, using additional information centered above t

Compare Quantity A and Quantity B, using additional information centered above t

游客2024-01-12  23
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. [br] Quantity A       Quantity B
(x + 4)(y + 3)   (x + 3)(y + 4)
选项
答案 D
解析 To compare(x + 4)(y + 3)and(x + 3)(y + 4), try plugging in a few values for x and y.
Case 1: x = 0 and y = 0. In this case, Quantity A is equal to(4)(3), or 12, and Quantity B is equal to(3)(4), or 12. So Quantity A is equal to Quantity B.
Case 2: x = 0 and y = 1. In this case, Quantity A is equal to(4)(4), or 16, and Quantity B is equal to(3)(5), or 15. So Quantity A is greater than Quantity B.
In one case, Quantity A is equal to Quantity B, and in the other case, Quantity A is greater than Quantity B. Therefore the correct answer is Choice D.
This explanation uses the following strategies.
Strategy 10: Trial and Error
Strategy 13: Determine Whether a Conclusion Follows from the Information Given
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