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The high school auditorium has 800 seats, and the drama club wants to make at least $3,400 each night. Adult tickets are $7, and student tickets are $4. Formulate a system of inequalities to represent the situation using x for adult tickets and y for student tickets.

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Final answer:

The situation can be represented by a system of inequalities: x + y <= 800 and 7x + 4y >= 3400. x represents the number of adult tickets and y represents the number of student tickets

Step-by-step explanation:

The situation can be represented by the following system of inequalities:

x + y <= 800

7x + 4y >= 3400

Where x represents the number of adult tickets and y represents the number of student tickets.

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