Solving an absolute value inequality using an and compound inequality

The video tutorial explains how to solve and graph absolute value inequalities. It begins by introducing the concept of absolute value inequalities and the need to create compound inequalities. The instructor demonstrates how to create two cases for the inequality, solve them separately, and graph the solutions on a number line. The tutorial emphasizes the importance of understanding the intersection of the inequalities and how to interpret the graph to find the solution. The video concludes with a summary of the steps involved in solving and graphing absolute value inequalities.

What is the first step in solving the absolute value inequality W + 6 < 2?

Explain how to create the two cases when solving the absolute value inequality.

What are the results of solving the inequalities W + 6 < 2 and W + 6 > -2?

Describe the process of graphing the compound inequalities on a number line.

What does the intersection of the two inequalities represent in the context of the absolute value inequality?