# 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.