Exercise 31 Page 92

The easiest way to verify if a satisfies the two given inequalities is by rewriting the absolute value inequality as a compound inequality. |x+3|≤ 8 Since the absolute value is less than or equal to 8, we can rewrite this absolute value inequality as as an and compound inequality. x+3≥-8 and x+3≤8 Notice that one of these inequalities is the same as the given inequality. This means that a will also be a solution to x+3≥-8. Therefore, the statement is true.