Answer
$z\geq \frac{2}{3} $
Work Step by Step
We are given the inequality $$\frac{5}{6} \leq z + \frac{1}{6}.$$ Subtract $\frac{1}{6}$ from both sides $$\frac{4}{6} \leq z .$$ Simplify $$\frac{2}{3} \leq z.$$ The graph will represent all numbers greater than or equal to $\frac{2}{3}\approx 0.67$.
The graph is drawn with a closed circle at $0.67$ and a line extending to the right of $0.67$.