Question

solve the inequality and graph the solution. $\frac{r}{2}+3>6$ 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: Isolate the term with the variable

Subtract 3 from both sides of the inequality $\frac{r}{2}+3 > 6$.
$\frac{r}{2}+3 - 3>6 - 3$
$\frac{r}{2}>3$

Step2: Solve for r

Multiply both sides of the inequality $\frac{r}{2}>3$ by 2.
$2\times\frac{r}{2}>3\times 2$
$r > 6$

Answer:

The solution of the inequality is $r>6$. On the number - line, we use an open circle at 6 (because 6 is not included in the solution) and draw a ray to the right of 6.