Question

solve for p and graph the solution.
2p - 1 ≤ 19 or p - 19 > -4
plot the endpoints. select an endpoint to change it from closed to open. select the middle of a segment, ray, or line to delete it.
-25 -20 -15 -10 -5 0 5 10 15
subm

Explanation:

Step1: Solve first inequality

Start with $2p - 1 \leq 19$. Add 1 to both sides:
$2p \leq 19 + 1$
$2p \leq 20$
Divide by 2:
$p \leq 10$

Step2: Solve second inequality

Start with $p - 19 > -4$. Add 19 to both sides:
$p > -4 + 19$
$p > 15$

Answer:

The solution is $p \leq 10$ or $p > 15$.

For the graph:

1. Plot a closed endpoint at 10 (since $p \leq 10$ includes 10) and draw a ray extending to the left from 10.
2. Plot an open endpoint at 15 (since $p > 15$ does not include 15) and draw a ray extending to the right from 15.