Answer
All real numbers are solutions.
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow |n+2|-3\geq -6$
Add $3$ to each side.
$\Rightarrow |n+2|-3+3\geq -6+3$
Simplify.
$\Rightarrow |n+2|\geq -3$
The absolute value of an expression must be greater than or equal to zero.
The expression $|n+2|$ will always be greater than $-3$.
Hence, all real numbers are solutions.
