Answer
$ -1\leq y \lt 3$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow 5\leq 3y+8 \lt 17$
Subtract $8$ from each expression.
$\Rightarrow 5-8\leq 3y+8-8 \lt 17-8$
Simplify.
$\Rightarrow -3\leq 3y \lt 9$
Divide each side by $3$.
$\Rightarrow \frac{-3}{3}\leq \frac{3y}{3}\lt \frac{9}{3}$
Simplify.
$\Rightarrow -1\leq y \lt 3$
Hence, the solution is $ -1\leq y \lt 3$.
