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Lesson: Solving Real-World Problems of System of Inequalities

When using a system of inequalities to describe constraints on the possible combinations in a real-world problem, sometimes only whole-number solutions will make sense. In this lesson, we will learn how to solve word problmes using systems of inequalities.

Worksheet: Solving Real-World Problems of System of Inequalities • 4 Questions

Q1:

Pedro and André went on a tour driving to Luxor and Aswan and took turns driving; each day Pedro drove for at least 4 hours and NO more than 8 hours, while André drove at least 2 hours and less than 7 hours. The total time they drove daily was NO more than 9 hours. State the system of inequalities that describes the situation, using to represent the number of hours that Pedro drove and to represent the number of hours that André drove.

A , ,
B , ,
C , ,
D , ,
E , ,

Q2:

A shepherd wants to build a rectangular sheep barn. The length of the barn must be more than 88 m and its perimeter must be less than 253 m. Derive the system of inequalities that describes the situation, denoting the length of the barn by and its width by .

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