Question

solve for u and graph the solution.
u + 12 > 20 or u - 1 < -1
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 \(u + 12>20\)

Subtract 12 from both sides:
\(u+12 - 12>20 - 12\)
\(u>8\)

Step2: Solve the second inequality \(u - 1<-1\)

Add 1 to both sides:
\(u-1 + 1<-1 + 1\)
\(u<0\)

Answer:

The solution is \(u < 0\) or \(u>8\). On the number - line, we have an open circle at \(u = 0\) (since \(u
eq0\)) and the line extends to the left of \(0\), and an open circle at \(u = 8\) (since \(u
eq8\)) and the line extends to the right of \(8\).