# Applications involving Systems of Inequalities

Related Topics:
More Lessons for Grade 11 Math
Math Worksheets

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?

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.