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OpenStax, Elementary Algebra 2e §5.6 Graphing Systems of Linear Inequalities · Review Exercise 116 · Algebra · Systems

Graphing Systems of Linear Inequalities · Review Exercise 116

Translate to a system of inequalities and solve.

Annie has a budget of $600 to purchase paperback books and hardcover books for her classroom. She wants the number of hardcover to be at least 5 more than three times the number of paperback books. Paperback books cost $4 each and hardcover books cost $15 each.

ⓐ Write a system of inequalities to model this situation.
ⓑ Graph the system.
ⓒ Can she buy 8 paperback books and 40 hardcover books?
ⓓ Can she buy 10 paperback books and 37 hardcover books?

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OpenStax, Elementary Algebra 2e · §5.6 Graphing Systems of Linear Inequalities · Review Exercise 116

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