Work Step by Step
Graph a blank number line and label the intervals accordingly. In $z\leq-5$, $-5$ is a solution because it states that $z$ is less than OR EQUAL TO $-5$, so when graphing the inequality, there needs to be a closed circle at the point $-5$. The numbers less than $-5$ are to the left of $-5$ on the number line, and the numbers greater than $-5$ are to the right of $-5$ on the number line. Because the inequality states that $z$ is less than or equal to $-5$, we shade to the left of our point of $-5$. Now, the graph should look like the one shown in the answer.