## Algebra 2 Common Core

$z \leq 2/5$ Refer to the graph below.
$4-5z \ge 2 \\-5z \ge 2-4 \\-5z \ge -2$ $\\\frac{-5z}{-5} \le \frac{-2}{-5} \\z \le \frac{2}{5}$ (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.