Question

solve for u and graph the solution.
|u + 60| > 40
click two endpoints to graph a line segment, an endpoint and an arrowhead to graph a ray, or
two arrowheads to graph a line. to change endpoints from filled - in circles to empty circles,
click on them.

Explanation:

Step1: Solve the inequality

$$\begin{align*} |u + 60| &> 40\\ u+60>40\quad&\text{or}\quad u + 60<-40\\ u>40 - 60\quad&\text{or}\quad u<-40 - 60\\ u>-20\quad&\text{or}\quad u<-100 \end{align*}$$

Step2: Graph the solution

For \(u > - 20\), we have an open circle at \(u=-20\) and an arrow to the right. For \(u < - 100\), we have an open circle at \(u = - 100\) and an arrow to the left.

Answer:

The solution of the inequality \(|u + 60|>40\) is \(u < - 100\) or \(u>-20\). On the number - line, we have an open circle at \(u=-100\) with an arrow to the left and an open circle at \(u = - 20\) with an arrow to the right.