Question

solve the inequality and graph the solution. (\frac{r - 9}{3}>-1). 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 $\frac{r - 9}{3}>-1$ by 3: $r - 9>-3$.

Step2: Isolate the variable

Add 9 to both sides: $r>-3 + 9$, so $r>6$.

Step3: Graph the solution

On the number - line, we have an open - circle at 6 (because the inequality is $r>6$, not $r\geq6$) and a ray extending to the right.

Answer:

The solution of the inequality is $r > 6$. On the number - line, place an open - circle at 6 and draw a ray to the right.