Answer
$ y\leq -1$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow 5y+9\leq 4$
Subtract $9$ from each side.
$\Rightarrow 5y+9-9\leq 4-9$
Simplify.
$\Rightarrow 5y\leq -5$
Divide each side by $5$.
$\Rightarrow \frac{5y}{5}\leq \frac{-5}{5}$
Simplify.
$\Rightarrow y\leq -1$
Hence, the solution is $ y\leq -1$.
Use a close circle because $-1$ is a solution.
Shade the number line on the right side.
