Supplementary Exercises on Inequalities

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EXERCISES 5.4 A. Sketch the graph of each inequality and write a verbal description of the shaded region. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. B. Sketch the graph of each system of inequalities and shade the solution. 1. 2. 3. 4. 5. 6. 7. 8. C. Graph the solution region for each system, and indicate whether each solution region is bounded or unbounded. Find the coordinates of the corner points. 1. 6. 2. 7. 3. 8. 4. 9. 5. 10. D. Formulate each of the following as a system of inequalities, graph the system and label the corner points. 1. A furniture company can sell all the tables and chairs it produces. Each table requires 1 hour in the assembly center and in the assembly center and hours in the finishing center. Each chair requires hours hours in the finishing center. The company’s assembly center is available 12 hours per day , and its finishing center is available per hours per day. Find and graph a system of inequalities describing all possible production levels. 2. Juan plans to invest up to P20,000 in two-different interest-bearing accounts. Each account is to contain at least P5,000. Moreover, the amount in one account should be at least twice the amount in the other account. Find and graph a system of inequalities to describe the various amounts that can be deposited in each account. 3. Isko’s Toy Truck company manufactures two models of toy trucks, a standard model and a deluxe model. Each standard model requires 2 hours for painting and 3 hours for detail work; each deluxe model requires 3 hours for painting and 4 hours fir detail work. Two painters and three detail workers are employed by the company, and each works 40 hours per week. a. Using x to denote the number of standard model trucks and y to denote the number of deluxe model trucks, write a system of linear inequalities that describes the possible

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