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OpenStax, Elementary Algebra 2e §5.6 Graphing Systems of Linear Inequalities · Review Exercise 115 · Algebra · Systems

Graphing Systems of Linear Inequalities · Review Exercise 115

Translate to a system of inequalities and solve.

Roxana makes bracelets and necklaces and sells them at the farmers’ market. She sells the bracelets for $12 each and the necklaces for $18 each. At the market next weekend she will have room to display no more than 40 pieces, and she needs to sell at least $500 worth in order to earn a profit.

ⓐ Write a system of inequalities to model this situation.
ⓑ Graph the system.
ⓒ Should she display 26 bracelets and 14 necklaces?
ⓓ Should she display 39 bracelets and 1 necklace?

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OpenStax, Elementary Algebra 2e · §5.6 Graphing Systems of Linear Inequalities · Review Exercise 115

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