How to determine the solution of a system of linear inequalities by graphing

The video tutorial explains how to solve and graph a linear system of inequalities. It begins by introducing the concept of graphing inequalities and rewriting them in slope-intercept form. The tutorial then demonstrates how to graph each inequality, identify parallel lines, and determine the appropriate shading regions using test points. The process involves plotting y-intercepts, using slopes to find additional points, and deciding whether boundary lines should be dashed or solid based on the inequality symbols. The tutorial concludes by showing how to identify the region that satisfies both inequalities.

What can you conclude about the lines if they have the same slope?

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What is the significance of the test point (0,0) in graphing inequalities?

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Describe the process of shading the correct region in a graph of inequalities.

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