$d\geq-1$ or $d\leq-7$
Work Step by Step
$|d+4|\geq3$ implies $d+4\geq3\\d\geq-1$ or $d+4\leq-3\\d\leq-7$. Thus $d\geq-1$ or $d\leq-7$. Then, by using a graphing utility, the solution set is attached.
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