Question

solve the inequality and graph the solution.
z - 8 ≥ 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 z

Add 8 to both sides of the inequality $z - 8\geq1$. So, $z-8 + 8\geq1 + 8$.

Step2: Simplify the inequality

We get $z\geq9$.

Answer:

The solution of the inequality is $z\geq9$. On the number - line, we plot a closed circle at 9 (since the inequality is $\geq$) and draw a ray to the right of 9.