Answer
$d\lt -12$ or $d\gt -6$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow |d+9|\gt3$
Write a compound inequality.
$\Rightarrow d+9\lt -3$ or $d+9\gt 3$
Subtract $9$ from each side.
$\Rightarrow d+9-9\lt -3-9$ or $d+9-9\gt 3-9$
Simplify.
$\Rightarrow d\lt -12$ or $d\gt -6$
Hence, the solution is $d\lt -12$ or $d\gt -6$.
