Question

solve the inequality and graph the solution.
$r - 1>1$
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: Isolate the variable r

Add 1 to both sides of the inequality $r - 1>1$.
$r-1 + 1>1 + 1$

Step2: Simplify the inequality

$r>2$

To graph the solution on the number - line:

1. The endpoint is at $r = 2$. Since the inequality is $r>2$ (strictly greater than), the endpoint at $r = 2$ is an open - circle.
2. The solution set includes all values of $r$ greater than 2, so we draw a ray starting from the open - circle at $r = 2$ and extending to the right.

Answer:

The solution of the inequality is $r>2$. On the number - line, there is an open - circle at 2 and a ray extending to the right.