Solve and graph an absolute value inequality

The video tutorial explains how to solve and graph inequalities involving absolute values. It begins by discussing the concept of absolute value and its implications for inequalities, emphasizing the need for two solutions. The instructor demonstrates how to isolate the absolute value and set up two scenarios to solve the inequality. The process of solving the inequality and graphing it on a number line is shown, including the use of open circles for less than and greater than signs. Finally, the video covers compound inequalities and how to graph them to find the solution set.

What are the two solutions to consider when dealing with absolute value inequalities?

Explain the process of isolating the absolute value sign in an inequality.

What is the significance of using open circles when graphing inequalities?

How do you graph the solutions of a compound inequality on a number line?

Describe the final solution set for the compound inequality discussed in the text.