Answer
$ a\geq -3$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow 6\geq -6(a+2)$
Divide each side by $-6$. Reverse the inequality symbol.
$\Rightarrow \frac{6}{-6}\leq \frac{-6(a+2)}{-6}$
Simplify.
$\Rightarrow -1\leq a+2$
Subtract $2$ from each side.
$\Rightarrow -1-2\leq a+2-2$
Simplify.
$\Rightarrow -3\leq a$
Hence, the solution is $ a\geq -3$.
Use a close circle because $-3$ is a solution.
Shade the number line on the right side.
