Graphing Systems of Inequalities

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What is a system of inequalities?

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A system of inequalities is a set of two or more inequalities with the same variables. The solution is the region where the graphs of the inequalities overlap.

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What is the solution set of a system of inequalities?

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The solution set of a system of inequalities is the region on the graph where all inequalities are satisfied simultaneously.

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How do you determine if a point is a solution to a system of inequalities?

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To determine if a point is a solution, substitute the coordinates of the point into each inequality. If the point satisfies all inequalities, it is a solution.

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What does it mean if a region is shaded in a graph of inequalities?

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Shaded regions in a graph of inequalities indicate the set of all possible solutions that satisfy the inequalities.

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What is the difference between a solid line and a dashed line in graphing inequalities?

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What is the significance of the intersection of two shaded regions in a graph of inequalities?

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The intersection of two shaded regions represents the solution set where both inequalities are satisfied.

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