Solve the inequality $2 \le \frac{p}{2}$ and graph the solution on the number line.

1. Problem Description

Solve the inequality $2 \le \frac{p}{2}$ and graph the solution on the number line.

2. Solution Steps

We need to isolate the variable $p$ in the inequality $2 \le \frac{p}{2}$. To do this, we can multiply both sides of the inequality by

2. $2 \times 2 \le 2 \times \frac{p}{2}$

$4 \le p$

This inequality can also be written as $p \ge 4$.

This means $p$ is greater than or equal to

4. To graph this inequality on the number line, we need a closed circle on 4, since 4 is included in the solution, and the arrow pointing to the right, since all numbers greater than 4 are also solutions.

3. Final Answer

$p \ge 4$. The graph shows a closed circle at 4 and an arrow extending to the right.