Question

Write an absolute value inequality to describe the graph.

Answer 1

A: |x - 6| ≤ 6

Explanation:

Looking at the number line graph to interpret the inequality, since the plot is between -6 and 6, the mid value will be (-6 + 6)/2 = 0. Thus, we have;

0 - 6 < x - 6 < 6 - 0

This gives;

-6 < x - 6 < 6

Thus, writing in absolute value, we have;

|x - 6| ≤ 6