The problem asks us to solve the inequality $2 \le \frac{p}{2}$ and graph the solution on a number line.

AlgebraInequalitiesLinear InequalitiesNumber LineGraphing
2025/4/28

1. Problem Description

The problem asks us to solve the inequality 2p22 \le \frac{p}{2} and graph the solution on a number line.

2. Solution Steps

To solve the inequality 2p22 \le \frac{p}{2}, we need to isolate the variable pp. We can do this by multiplying both sides of the inequality by

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

4p4 \le p
This can also be written as p4p \ge 4.
This means that pp is greater than or equal to

4. To graph this on a number line, we place a closed circle (or filled dot) at 4, since $p$ can be equal to

4. Then, we draw an arrow extending to the right, indicating that $p$ can be any value greater than

4.

3. Final Answer

The solution to the inequality is p4p \ge 4. The graph should have a closed circle at 4 and an arrow pointing to the right.

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