Solve the inequality and graph the solution.

To solve the inequality \( \frac{p}{-1} + 1 \leq 3 \), we first simplify and isolate \( p \).

1. Start by rewriting the inequality: \[ -p + 1 \leq 3 \]

2. Subtract 1 from both sides: \[ -p \leq 3 - 1 \] \[ -p \leq 2 \]

3. Multiply both sides of the inequality by -1. Remember, when you multiply or divide by a negative number, you must reverse the inequality sign: \[ p \geq -2 \]

The solution to the inequality is: \[ p \geq -2 \]

Graphing the solution:

To graph this solution on a number line:

1. Draw a number line.
2. Mark the point -2 on the line.
3. Since \( p \) can be equal to -2 (the inequality is inclusive), represent this with a solid dot on -2.
4. Shade the line to the right of -2 to indicate all numbers greater than or equal to -2.

Here's a rough representation of the graph:

<---|----|----|----|----|----|----|----|----|---> 
    -4   -3    -2   -1    0    1    2    3    4  
          ●==========================>

The solid dot at -2 shows it is included in the solution, and the shaded area to the right indicates all integers greater than -2 are included in the solution set.