Question

solve the inequality and graph the solution.\\(\frac{p - 2}{2} > 1\\)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: Eliminate denominator

Multiply both sides by 2:
$$2 \times \frac{p-2}{2} > 1 \times 2$$

Step2: Simplify inequality

Cancel terms and compute:
$$p - 2 > 2$$

Step3: Isolate variable $p$

Add 2 to both sides:
$$p - 2 + 2 > 2 + 2$$

Step4: Final simplification

Calculate the sum:
$$p > 4$$

Answer:

The solution to the inequality is $p > 4$. For the graph: plot an open circle at 4 on the number line, then draw a ray pointing to the right (toward values greater than 4).