Question

solve the inequality and graph the solution.
1 ≥ (r - 2)/2
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

$1\times2\geq\frac{r - 2}{2}\times2$
$2\geq r - 2$

Step2: Add 2 to both sides

$2+2\geq r- 2+2$
$4\geq r$ or $r\leq4$

Answer:

The solution of the inequality is $r\leq4$. On the number - line, you would plot a closed circle at $r = 4$ (since the inequality is $\leq$) and draw a ray to the left.