SAT Math Multiple Choice Question 701: Answer and Explanation

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Question: 701

11. If a and b are the coordinates of two points on the number line, then which of the following is equivalent to the statement that the absolute distance from a to b is greater than the absolute distance from -2 to 6?

  • A. |a| > -2 and |b| > 6
  • B. |a - b| > -8
  • C. |a + 2| > |b - 6|
  • D. |a - b| > 8

Correct Answer: D

Explanation:

D

Algebra (absolute values) EASY

The absolute distance from a to b is |a - b| and the absolute distance from -2 to 6 is |-2 - 6| = 8. Therefore, |a - b| > 8.

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