How to graph an absolute value inequality with a horizontal shift

The video tutorial explains how to graph absolute value inequalities, similar to graphing absolute value equations. It covers identifying the vertex, plotting it, and using slopes to graph the inequality. The tutorial also discusses using test points to determine the solution area and shading the appropriate region. A dashed line is used to represent the graph when the inequality is not inclusive.

What is the first step in graphing an absolute value inequality?

How do you determine the vertex of an absolute value function?

What does the vertex represent in the graph of an absolute value inequality?

Why is a dashed line used when graphing certain absolute value inequalities?

What method can be used to determine where to shade in the graph of an absolute value inequality?