System of Inequalities Review

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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 set of all points that satisfy all inequalities in the system.

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What does a dashed line represent in graphing inequalities?

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A dashed line indicates that the points on the line are not included in the solution set for inequalities using < or >.

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What does a solid line represent in graphing inequalities?

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A solid line indicates that the points on the line are included in the solution set for inequalities using ≤ or ≥.

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

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Substitute the point's coordinates into each inequality. If the point satisfies all inequalities, it is a solution.

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What is the graphical representation of the inequality @@y eq -5x + 10@@?

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What does it mean if a point lies in the shaded region of a graph of inequalities?

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It means that the point satisfies all the inequalities represented in the graph.

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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 represents the set of solutions that satisfy both inequalities in the system.

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What is the difference between strict and non-strict inequalities?

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Strict inequalities (<, >) do not include the boundary line, while non-strict inequalities (≤, ≥) do include the boundary line.