Question

solve the inequality and graph the solution.
\\( \frac { r } { 3 } \geq 3 \\)
plot the endpoints. select an endpoint to change it from closed to open. select the
middle of the segment, ray, or line to delete it.

Explanation:

Step1: Solve the inequality

Multiply both sides of the inequality $\frac{r}{3}\geq3$ by $3$.
$$\frac{r}{3}\times3\geq3\times3$$
$$r\geq9$$

Step2: Graph the solution

On the number line, since $r\geq9$, we use a closed - circle at $9$ (because the inequality includes equality, i.e., $r = 9$ is part of the solution) and draw a ray to the right of $9$.

Answer:

The solution of the inequality is $r\geq9$. On the number line, there is a closed - circle at $9$ and a ray extending to the right.