Question

solve the inequality and graph the solution. -2 + 2p > 10 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: Isolate the term with the variable

Add \(2\) to both sides of the inequality \(-2 + 2p>10\).
\(-2+2 + 2p>10 + 2\)
\(2p>12\)

Step2: Solve for \(p\)

Divide both sides of the inequality \(2p>12\) by \(2\).
\(\frac{2p}{2}>\frac{12}{2}\)
\(p > 6\)

Answer:

The solution of the inequality is \(p>6\). On the number - line, we have an open circle at \(p = 6\) (because \(6\) is not included in the solution set) and a ray extending to the right of \(6\) towards positive infinity.