Question

which graph represents the solution set of the compound inequality? -5 < a - 15 < 2

Explanation:

Step1: Add 15 to all parts

$-5 + 15< a-15 + 15<2 + 15$

Step2: Simplify the inequality

$10< a<17$

This means $a$ is greater than 10 and less than 17. On a number - line, we use open circles at 10 and 17 to represent that these values are not included in the solution set and shade the region between them.

Answer:

The third graph (with open circles at 10 and 17 and shading in - between on the number - line from 0 to 20)