Question

solve the inequality and graph the solution.

\\( \frac { p } { 2 } > 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: Solve the inequality

Multiply both sides of the inequality \(\frac{p}{2}>2\) by \(2\) to isolate \(p\).
\(\frac{p}{2}\times2>2\times2\)
\(p > 4\)

Step2: Graph the solution

On the number - line, since \(p>4\), we use an open circle at \(p = 4\) (because \(4\) is not included in the solution set) and draw a ray to the right of \(4\) to represent all values of \(p\) greater than \(4\).

Answer:

The solution of the inequality is \(p>4\). On the number - line, there is an open circle at \(4\) and a ray extending to the right.