Question

solve the inequality and graph the solution.\\(\frac{p - 2}{2} \leq 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: Multiply both sides by 2

$$2 \times \frac{p - 2}{2} \leq 2 \times 1$$
Simplifies to: $p - 2 \leq 2$

Step2: Add 2 to both sides

$$p - 2 + 2 \leq 2 + 2$$
Simplifies to: $p \leq 4$

Step3: Graph the solution

• Plot a closed endpoint at $p=4$ (since the inequality includes equality, $\leq$).
• Draw a ray extending to the left from 4, covering all values less than or equal to 4.

Answer:

The solution to the inequality is $p \leq 4$. For the graph: mark a closed dot at 4 on the number line, then draw a ray pointing left from this dot to represent all values of $p$ that satisfy the inequality.