Question

solve the inequality and graph the solution.
4 < p - 4
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.
submit

Explanation:

Step1: Isolate the variable \(p\)

Add \(4\) to both sides of the inequality \(4 < p - 4\).
$$4+4 < p-4 + 4$$

Step2: Simplify the inequality

Simplify the left - hand side \(4 + 4=8\) and the right - hand side \(p-4 + 4=p\). So the inequality becomes \(8 < p\) or \(p>8\).

To graph \(p > 8\) on the number line:

• Place an open circle at \(p = 8\) (because \(8\) is not included in the solution set, since the inequality is \(>\) not \(\geq\)).
• Draw a ray to the right of \(8\) (because \(p\) is greater than \(8\)).

Answer:

The solution of the inequality \(4 < p - 4\) is \(p>8\). On the number line, there is an open circle at \(8\) and a ray extending to the right.