Question

solve the inequality and graph the solution.
\\(\frac{r + 6}{2}>5\\)
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: Multiply both sides by 2

$2\times\frac{r + 6}{2}>2\times5$
$r + 6>10$

Step2: Subtract 6 from both sides

$r+6 - 6>10 - 6$
$r>4$

For graphing: The solution of the inequality $r > 4$ is all real - numbers greater than 4. On the number line, we use an open - circle at $r = 4$ (because 4 is not included in the solution set) and draw a ray to the right of 4.

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.