Answer
$y\geq 8$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow 3y-7\geq 17$
Add $7$ to each side.
$\Rightarrow 3y-7+7\geq 17+7$
Simplify.
$\Rightarrow 3y\geq 24$
Divide each side by $3$.
$\Rightarrow \frac{3y}{3}\geq \frac{24}{3}$
Simplify.
$\Rightarrow y\geq 8$
Hence, the solution is $y\geq 8$.
Use a close circle because $8$ is a solution.
Shade the number line on the right side.
