2. 外语
  3. BYou are given that three numbers, r, s, and t, are consecutive odd integers and that r

BYou are given that three numbers, r, s, and t, are consecutive odd integers and that r

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答案B
解析 You are given that three numbers, r, s, and t, are consecutive odd integers and that r    One way to approach this problem is to set up a placeholder relationship between the two quantities and simplify it to see what conclusions you can draw.
    Simplification 1: Begin simplifying by expressing s and t in terms of r. The steps in this simplification can be done as follows.

In the last step of the simplification, you can easily see that 3 < 5. If you follow the simplification steps in reverse, you can see that the placeholder in each step remains unchanged, so you can conclude that Quantity B is greater than Quantity A, and the correct answer is Choice B.
    Simplification 2: Since the number s appears in both quantities, you can begin the simplification by subtracting 5 from both sides of the relationship and then express t in terms of r. The steps in this simplification can be done as follows.

In the last step of the simplification, you can easily see that 1 < 3. If you follow the simplification steps in reverse, you can see that the placeholder in each step remains unchanged, so you can conclude that Quantity B is greater than Quantity A, and the correct answer is Choice B.
    Note that in this solution, the fact that r is odd is not used; what is used is the fact that the consecutive odd integers differ by 2.
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