Question

solve the inequality and graph the solution.
z - 6 > 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: Isolate the variable z

Add 6 to both sides of the inequality $z - 6>2$.
$z-6 + 6>2 + 6$

Step2: Simplify the inequality

$z>8$

Answer:

The solution of the inequality is $z>8$. On the number - line, we plot an open circle at 8 (because 8 is not included in the solution) and draw a ray to the right of 8.