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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How do you determine the solution set for a system of inequalities?

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The solution set for a system of inequalities is determined by finding the overlapping region of the graphs of the individual inequalities.

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What is the significance of a dotted line in graphing inequalities?

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How do you solve a system of inequalities by graphing?

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To solve a system of inequalities by graphing, graph each inequality on the same coordinate plane and identify the region where the shaded areas overlap.

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

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What does the solution to the system of inequalities represent?

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The solution to the system of inequalities represents all the points (x, y) that satisfy all inequalities in the system.