Question

solve for w and graph the solution.
w - 13 < -8 or w - 1 > 19
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

Add 13 to both sides of $w - 13 < - 8$.
$w-13 + 13< - 8+13$
$w < 5$

Step2: Solve the second inequality

Add 1 to both sides of $w - 1>19$.
$w-1 + 1>19 + 1$
$w>20$

Step3: Graph the solution

The solution of $w < 5$ has an open - circle at 5 and a ray pointing to the left. The solution of $w>20$ has an open - circle at 20 and a ray pointing to the right.

Answer:

The solution is $w < 5$ or $w>20$. On the number - line, there is an open circle at 5 with a ray extending to the left and an open circle at 20 with a ray extending to the right.