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The math club is selling tickets for a show by a “mathmagician”.

Student tickets will cost $1 and adult tickets will cost $2. The ticket receipts must be at least $250 to cover the performer’s fee. Write a system of inequalities for the number of student tickets and the number of faculty tickets that must be sold.

Let x = number of student tickets sold. Let y = number of adult tickets sold. we cannot sell a negative number of tickets therefore, x and y values have to be ≥ 0. T he value of all the student tickets is 1x since they are $1 each the value of all the adult tickets is 2y because they are $2 each.

Therefore their total value have to be at least $250 which will be writtenas