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OpenStax, Elementary Algebra 2e §5.6 Graphing Systems of Linear Inequalities · Exercise 44 · Algebra · Systems

Graphing Systems of Linear Inequalities · Exercise 44

Translate to a system of inequalities and solve.

Juan is studying for his final exams in Chemistry and Algebra. He knows he only has 24 hours to study, and it will take him at least three times as long to study for Algebra than Chemistry.

ⓐ Write a system of inequalities to model this situation.
ⓑ Graph the system.
ⓒ Can he spend 4 hours on Chemistry and 20 hours on Algebra?
ⓓ Can he spend 6 hours on Chemistry and 18 hours on Algebra?

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OpenStax, Elementary Algebra 2e · §5.6 Graphing Systems of Linear Inequalities · Exercise 44

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