Question

solve the inequality and graph the solution.
2 ≥ \frac{p}{2}
plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Multiply both sides by 2

$2\times2\geq\frac{p}{2}\times2$

Step2: Simplify the inequality

$4\geq p$ or $p\leq4$

To graph:

• The endpoint is $p = 4$. Since the inequality is $\leq$, the endpoint is a closed - circle.
• The solution set is all real numbers less than or equal to 4, so we draw a ray to the left from the point $p = 4$ on the number - line.

Answer:

The solution of the inequality is $p\leq4$. On the number - line, we place a closed circle at 4 and draw a ray to the left.