Question

solve for p and graph the solution.
3p + 19 < 13 or $\frac{7p - 6}{4}>2$
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.

Explanation:

Step1: Solve the first - inequality

Solve $3p + 19<13$.
Subtract 19 from both sides: $3p+19 - 19<13 - 19$, which simplifies to $3p<-6$.
Divide both sides by 3: $p < - 2$.

Step2: Solve the second - inequality

Solve $\frac{7p - 6}{4}>2$.
Multiply both sides by 4: $7p-6>8$.
Add 6 to both sides: $7p-6 + 6>8 + 6$, which simplifies to $7p>14$.
Divide both sides by 7: $p>2$.

Answer:

The solution is $p < - 2$ or $p>2$. On the number - line, an open circle at $p=-2$ and shade to the left, and an open circle at $p = 2$ and shade to the right.