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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,
admin
2017-10-16
39
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
Set up the initial comparison:
The left-hand side of the comparison is the square of a number. Since the square of a number is always greater than or equal to 0, and 0 is greater than -1, the simplified comparison is the inequality(x - l)
2
> -1 and the resulting relationship is greater than(>). In reverse order, each simplification step implies the inequality greater than(>)in the preceding comparison. Therefore Quantity A is greater than Quantity B.
The correct answer is Choice A, Quantity A is greater.
This explanation uses the following strategies.
Strategy 5: Simplify an Arithmetic or Algebraic Representation
Strategy 8: Search for a Mathematical Relationship
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