How to graph an absolute value inequality with a horizontal compression

The video tutorial explains how to graph absolute value inequalities, focusing on the equation Y ≤ |3X + 1|. It covers the importance of understanding the vertex and transformations, using a table of values, and reflecting points over the axis of symmetry. The tutorial also discusses determining shading by using test points and ensuring the graph is part of the solution set.

Describe the process of determining where to shade when graphing an absolute value inequality.

What is the importance of using a test point when graphing inequalities?