The problem asks to solve the inequality $64 < 32z$ and graph the solution on a number line.

1. Problem Description

The problem asks to solve the inequality $64 < 32z$ and graph the solution on a number line.

2. Solution Steps

To solve the inequality $64 < 32z$, we need to isolate the variable $z$. We can do this by dividing both sides of the inequality by

3

2.

$\frac{64}{32} < \frac{32z}{32}$

$2 < z$

This can also be written as $z > 2$.

The inequality $z > 2$ means that $z$ can be any value greater than

2. On the number line, we represent this with an open circle at 2 and an arrow extending to the right, indicating all values greater than

2.

3. Final Answer

$z > 2$