Answer
$z \leq 2/5$
Refer to the graph below.
Work Step by Step
$4-5z \ge 2
\\-5z \ge 2-4
\\-5z \ge -2$
$\\\frac{-5z}{-5} \le \frac{-2}{-5}
\\z \le \frac{2}{5}$
(A negative number was divided to both sides of the inequality so we flip the sign)
Since the inequality involved is $\le$ then the graph will involve a solid dot.
Since the inequality is $z \le \frac{2}{5}$, then it will start at $\frac{2}{5}$ and go infinitely to the left.
