Graphing Systems of Linear Inequalities

This lesson teaches how to graph systems of linear inequalities by shading their intersection on a coordinate plane. It explains the difference between graphing linear equations and inequalities, emphasizing the use of dotted or solid lines based on the inequality type. The lesson provides examples to illustrate how to find the intersection of solutions that satisfy both inequalities, using color shading to differentiate regions. The video concludes with a recap of the steps to graph systems of inequalities and identify the intersection of corresponding half planes.

What is the outcome when the lines of a system of inequalities do not intersect?

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How can you verify if a point satisfies both inequalities in a system?

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What does it indicate if a region is not shaded at all in the graph of a system of inequalities?

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