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OpenStax, Elementary Algebra 2e §5.6 Graphing Systems of Linear Inequalities · Exercise 42 · Algebra · Systems

Graphing Systems of Linear Inequalities · Exercise 42

Translate to a system of inequalities and solve.

Jake does not want to spend more than $50 on bags of fertilizer and peat moss for his garden. Fertilizer costs $2 a bag and peat moss costs $5 a bag. Jake’s van can hold at most 20 bags.

ⓐ Write a system of inequalities to model this situation.
ⓑ Graph the system.
ⓒ Can he buy 15 bags of fertilizer and 4 bags of peat moss?
ⓓ Can he buy 10 bags of fertilizer and 10 bags of peat moss?

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OpenStax, Elementary Algebra 2e · §5.6 Graphing Systems of Linear Inequalities · Exercise 42

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