How to solve and graph an absolute value inequality by converting to a compound inequality

The video tutorial explains how to solve and graph absolute value inequalities. It begins by discussing the importance of identifying whether the inequality is an 'and' or 'or' compound inequality. The tutorial then demonstrates solving the inequalities by creating two cases and solving them step-by-step. It also covers graphing the solutions, including plotting points and shading the appropriate regions. The video concludes with testing points to verify the solution and ensure the graph is accurate.

What test points can you use to verify the solutions of the inequalities X >= 12 and X <= 10?

Describe how to choose test points for inequalities and what their purpose is in the context of graphing.