Systems of Inequalities Practice

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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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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 x and y values of the point into each inequality. If the point satisfies all inequalities, it is a solution.

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What does a solid line represent when graphing inequalities?

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A solid line represents that the points on the line are included in the solution set, which occurs when the inequality is ≤ or ≥.

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What does a dashed line represent when graphing inequalities?

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A dashed line indicates that the points on the line are not included in the solution set, which occurs when the inequality is < or >.

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The solution set is the region where the shaded areas of both inequalities overlap.

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The point (0,-1) is NOT a solution.