Question

solve the inequality and graph the solution.
\frac{u - 1}{2}>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: Multiply both sides by 2

$2\times\frac{u - 1}{2}>2\times1$
$u - 1>2$

Step2: Add 1 to both sides

$u-1 + 1>2 + 1$
$u>3$

Answer:

The solution of the inequality is $u>3$. On the number - line, we use an open circle at $u = 3$ (since $u$ is strictly greater than 3) and draw a ray to the right of 3.