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 does the inequality symbol '<' indicate?

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The symbol '<' indicates that the value on the left is less than the value on the right.

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What does the inequality symbol '≤' indicate?

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The symbol '≤' indicates that the value on the left is less than or equal to the value on the right.

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What does shading above a line in a graph represent?

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What does shading below a line in a graph represent?

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

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The solution set is the region where the shaded areas of all inequalities overlap on the graph.

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

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A solid line indicates that the points on the line are included in the solution (for '≤' or '≥'), while a dashed line indicates they are not included (for '<' or '>').

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