The problem asks us to solve the inequality $2 \le \frac{p}{2}$ and graph the solution on a number line.
2025/4/28
1. Problem Description
The problem asks us to solve the inequality and graph the solution on a number line.
2. Solution Steps
To solve the inequality , we need to isolate the variable . We can do this by multiplying both sides of the inequality by
2. $2 * 2 \le 2 * \frac{p}{2}$
This can also be written as .
This means that 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 . The graph should have a closed circle at 4 and an arrow pointing to the right.