Question

solve for w and graph the solution.
w - 13 < - 8 or w - 1 > 19
select an endpoint to change it from closed to open. select the middle of the endpoints. select an endpoint to delete it.
plot the endpoints, ray, a segment, or line to delete it.

Explanation:

Step1: Solve the first inequality

Solve \(w - 13<-8\). Add 13 to both sides: \(w-13 + 13<-8 + 13\), so \(w < 5\).

Step2: Solve the second inequality

Solve \(w-1>19\). Add 1 to both sides: \(w - 1+1>19 + 1\), so \(w>20\).

Step3: Graph the inequalities

For \(w < 5\), we use an open - circle at 5 (since it's a strict inequality) and draw a ray to the left. For \(w>20\), we use an open - circle at 20 and draw a ray to the right.

Answer:

The solution of \(w - 13<-8\) is \(w < 5\) and the solution of \(w - 1>19\) is \(w>20\). On the number - line, we have 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.