Answer
$2\geq a\geq -3$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow -2\leq 4-3a \leq 13$
Subtract $4$ from each expression.
$\Rightarrow -2-4\leq 4-3a-4\leq 13-4$
Simplify.
$\Rightarrow -6\leq -3a\leq 9$
Divide each expression by $-3$. Reverse the inequality symbol.
$\Rightarrow \frac{-6}{-3}\geq \frac{-3a}{-3}\geq \frac{9}{-3}$
Simplify.
$\Rightarrow 2\geq a\geq -3$
Hence, the solution is $2\geq a\geq -3$.
