Exam 4: Inequalities

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Graph the inequality. Graph the inequality.

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A distributor wholesales desk chairs for $200 and side chairs for $100. Best Furniture wants to order no more than $1,200 worth of chairs and wants to order more side chairs than desk chairs. Find a system of inequalities whose graph will show the possible combination of desk chairs ( x ) and side chairs ( y ) that can be ordered, graph the system of inequalities, and determine whether the ordered pairs satisfy the inequality.

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Graph the inequality. Graph the inequality.

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Graph Graph   . .

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Graph the solution set of the system. Graph the solution set of the system.

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Dry Boat Works wholesales aluminum boats for $500 and fiberglass boats for $300. Northland Marina wants to order at least $750 worth but no more than $1,500 worth of boats. Write a system of linear inequalities which describes all possible combinations of aluminum boats ( x ) and fiberglass boats ( y ) that can be ordered, graph the system of inequalities, and determine whether the ordered pairs satisfy the inequality.

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On average, it takes an accountant 1 hour to complete a simple tax return and 4 hours to complete a complicated return. If the accountant wants to work no more than 8 hours per day, graph an inequality that shows the possible ways that simple returns ( x ) and complicated returns ( y ) can be completed each day. Graph the inequality for nonnegative values of x and y .

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Solve the equation. Solve the equation.

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Solve the equation. Solve the equation.

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Identify the graph of the inequality. Identify the graph of the inequality.

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Tickets to a concert cost $6 for reserved seats and $4 for general admission. If receipts must be at least $10,200 to meet expenses, graph an inequality that shows the possible ways that the box office can sell reserved seats ( x ) and general admission tickets ( y ). Graph the inequality for nonnegative values of x and y .

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Identify the graph of the inequality. x > 5 and y

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Solve the inequality. Solve the inequality.

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Graph Graph   . .

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Maximize P subject to the constraints. Maximize P subject to the constraints.    Maximize P subject to the constraints.

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Solve the inequality and write the solution set using interval notation. Solve the inequality and write the solution set using interval notation.

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A student can afford to spend up to $370 on a stereo system and some compact discs. If the stereo costs $155 and the discs are $9.50 each, find the greatest number of discs he can buy.

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Solve the equation. Give the solution in interval notation. Solve the equation. Give the solution in interval notation.

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Graph the inequality. Graph the inequality.

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Solve the equation, if possible. Solve the equation, if possible.

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