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D
解析 Set up the initial comparison:

The comparison cannot be simplified any further. Although you are given that w>l, you still dont know how w compares to 9/5, or 1.8. For example, if w= 1.5, then w < 1.8, but if w = 2, then w > 1.8. In other words, the relationship between w and 9/5 cannot be determined.
Note that each of these simplification steps is reversible, so in reverse order, each simplification step implies that the relationship cannot be determined in the preceding comparison. Thus the relationship between Quantities A and B cannot be determined.
The correct answer is Choice D, the relationship cannot be determined from the information given.
This explanation uses the following strategies.
Strategy 5: Simplify an Arithmetic or Algebraic Representation
Strategy 13: Determine Whether a Conclusion Follows from the Information Given
The strategy of simplifying the comparison works most efficiently when you note that a simplification step is reversible while actually taking the step. Here are some common steps that are always reversible:
    Adding any number or expression to both sides of a comparison
    Subtracting any number or expression from both sides
    Multiplying both sides by any nonzero number or expression
    Dividing both sides by any nonzero number or expression
Remember that if the relationship is an inequality, multiplying or dividing both sides by any negative number or expression will yield the opposite inequality. Be aware that some common operations like squaring both sides are generally not reversible and may require further analysis using other information given in the question in order to justify reversing such steps.
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