Regents Exam: Algebra I August 2016 (Problem 34 of 37)

The video tutorial addresses a common mistake in graphing inequalities. Shawn incorrectly shaded the region above the line instead of below it. The tutorial explains how to solve the inequality by converting it to slope-intercept form, graphing it correctly, and determining the correct region to shade. The error occurred because Shawn forgot to flip the inequality symbol when dividing by a negative number. The correct graph should have a solid line with shading below it.

Why is it important to test a point when determining the shading of the graph?

What conclusion can be drawn from the final graph of the inequality?