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Applications involving Systems of Inequalities

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Examples, solutions, videos, worksheets, games, and activities to help Algebra students learn how to apply systems of linear inequalities to real life problems.

System of Inequalities Application
Example:
Luis receives a gift card worth $25 to an online retailer that sells digital music and games. Each song costs $0.89, and each game costs $1.99. He wants to buy at least 15 items with this card.
Set up a system of inequalities that represents this scenario, and identify the range of possible purchases using a graph.
Systems of Inequalities - Applications
Learn to apply systems of linear inequalities to real life problems.
Example:
Leyla is selling hot dogs and spicy sausages at the fair. She has only 40 buns, so she can sell no more that a total of 40 hot dogs and spicy sausages. Each hot dog sells for $2, and ecah sausage sells for $2.50. Leyla needs at least $90 in sales to meet her goal.
Write and graph a system of inequalities that models this situation.



Systems of Inequalities Word Problems
Example:
Renee's Pet Store never has more than a combined total of 20 cats and dogs. They also have more that 8 cats. How many of each type of pet can they have at the pet store?


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