Question

solve the inequality and graph the solution. (\frac{r}{2}-90 > - 92). 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

Add 90 to both sides of $\frac{r}{2}-90 > - 92$.
$\frac{r}{2}-90 + 90> - 92+90$
$\frac{r}{2}>-2$
Multiply both sides by 2: $r > - 4$.

Step2: Graph the solution

On the number - line, since $r > - 4$, we use an open circle at $r=-4$ (because the inequality is strict, i.e., $r$ is not equal to - 4) and draw a ray to the right.

Answer:

The solution of the inequality is $r > - 4$. On the number - line, place an open circle at $-4$ and draw a ray to the right.