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 greater than or equal to 8, we can rewrite this absolute value inequality as an or compound inequality.
x+3≥8 or x+3≤-8
Notice that one of these inequalities is the same as the given inequality. Since an or statement if true if any of the two cases is true, this will mean that a is also a solution to |x+3|≥ 8. Therefore, the statement is true.
