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 region where the graphs of the inequalities overlap.

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What does it mean for a line to be dashed in a graph of inequalities?

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A dashed line indicates that the points on the line are not included in the solution set (i.e., the inequality is strict, such as < or >).

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What does it mean for a line to be solid in a graph of inequalities?

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A solid line indicates that the points on the line are included in the solution set (i.e., the inequality is non-strict, such as ≤ 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 coordinates of the point into each inequality. If the point satisfies all inequalities, it is a solution.

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It represents that the total number of ham and meatball subs sold is less than 40.

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It represents that the total sales from ham and meatball subs is less than $200.

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What does it mean if two inequalities overlap in a graph?

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The overlapping region represents the set of solutions that satisfy both inequalities.