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 greater 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 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 greater than or equal to 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 type of line is used for inequalities with '≥' or '≤'?

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A solid line is used for inequalities with '≥' or '≤' to indicate that points on the line are included in the solution.

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What type of line is used for inequalities with '>' or '<'?

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A dotted line is used for inequalities with '>' or '<' to indicate that points on the line are not included in the solution.

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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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