Problem
The test scores in your class range from 60 to 100 . Write an absolute-value inequality describing the range of the test scores. $|x-80| \leq 20$ $|x+20| \geq-20$ $|x-80| \geq 20$ $|x-20| \leq 20$
Solution
Step 1 ：The test scores in your class range from 60 to 100. We are asked to write an absolute-value inequality describing the range of the test scores.
Step 2 ：The midpoint of this range is 80, and the distance from the midpoint to either end of the range is 20.
Step 3 ：Therefore, the absolute-value inequality that describes this range is |x - 80| ≤ 20. This inequality states that the distance between any test score x and the midpoint 80 is at most 20.
Step 4 ：Final Answer: The absolute-value inequality that describes the range of the test scores from 60 to 100 is \(\boxed{|x - 80| \leq 20}\).
