writing 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 that share the same variables. The solution is the set of all points that satisfy all inequalities in the system.

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What do the variables x and y represent in the context of ticket sales?

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In the context of ticket sales, x represents the number of adult tickets sold, and y represents the number of children's tickets sold.

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How do you represent the total revenue from ticket sales as an inequality?

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What inequality represents the total number of tickets sold?

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The inequality sign '>' indicates that the total number of tickets sold must be greater than 21.

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How do you graph a system of inequalities?

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To graph a system of inequalities, first graph each inequality on the same coordinate plane. The solution set is the region where the shaded areas overlap.

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What does the solution to a system of inequalities represent in a real-world context?

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The solution to a system of inequalities represents all possible combinations of the variables that satisfy all conditions, such as ticket sales that meet revenue and quantity requirements.

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What is the slope-intercept form of a linear equation?

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What does the term 'feasible region' mean in the context of linear inequalities?

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The feasible region is the area on a graph that satisfies all inequalities in a system, representing all possible solutions.