The problem requires solving the inequality $4z \le 8$ and graphing the solution on a number line.

1. Problem Description

The problem requires solving the inequality $4z \le 8$ and graphing the solution on a number line.

2. Solution Steps

To solve the inequality $4z \le 8$, we need to isolate $z$. We can do this by dividing both sides of the inequality by

4. $$\frac{4z}{4} \le \frac{8}{4}$$

$$z \le 2$$

The solution to the inequality is $z \le 2$. This means $z$ can be any number less than or equal to

2. To graph this on a number line, we place a closed circle (or a filled-in circle) at 2, indicating that 2 is included in the solution. Then, we draw an arrow extending to the left from 2, indicating that all numbers less than 2 are also solutions.

3. Final Answer

The solution to the inequality is $z \le 2$.

On the number line, plot a closed circle at 2, and draw an arrow to the left.