Graphing an absolute value inequality with a vertical shift

The video tutorial explains how to graph the inequality Y < |X + 5|. It begins by introducing the concept of absolute value inequalities and the parent graph Y = |X|. The tutorial then discusses the transformation caused by the '+5' and how it shifts the vertex of the graph. The instructor plots the new graph, ensuring it is represented as a dashed line since it is a 'less than' inequality. Finally, the video demonstrates how to test points to determine which areas of the graph are part of the solution set.

What test point is suggested for determining the validity of points above or below the absolute value inequality?

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Explain the significance of the statement 'zero is less than absolute value of 0 + 5' in the context of this lesson.

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