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OpenStax, Elementary Algebra 2e §5.6 Graphing Systems of Linear Inequalities · Exercise 43 · Algebra · Systems

Graphing Systems of Linear Inequalities · Exercise 43

Translate to a system of inequalities and solve.

Reiko needs to mail her Christmas cards and packages and wants to keep her mailing costs to no more than $500. The number of cards is at least 4 more than twice the number of packages. The cost of mailing a card (with pictures enclosed) is $3 and for a package the cost is $7.

ⓐ Write a system of inequalities to model this situation.
ⓑ Graph the system.
ⓒ Can she mail 60 cards and 26 packages?
ⓓ Can she mail 90 cards and 40 packages?

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OpenStax, Elementary Algebra 2e · §5.6 Graphing Systems of Linear Inequalities · Exercise 43

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