A college student works in both the school cafeteria and library. She works no more than 12 hours per week at the cafeteria, and no more than 18 hours per week at the library. She must work at least 20 hours each week. Write a system of inequalities that describes all the given conditions. Write a system of inequalities letting x = number of hours worked at the cafeteria per week and y = number of hours worked at the library per week. x+y² 20, x≤ 12, y≤ 18 Use the graphing tool on the right to graph the feasible region for the system of inequalities. Click to enlarge graph 2

A college student works in both the school cafeteria and library. She works no more than 12 hours per week at the cafeteria, and no more than 18 hours per week at the library. She must work at least 20 hours each week. Write a system of inequalities that describes all the given conditions. Write a system of inequalities letting x = number of hours worked at the cafeteria per week and y = number of hours worked at the library per week. x+y² 20, x≤ 12, y≤ 18 Use the graphing tool on the right to graph the feasible region for the system of inequalities. Click to enlarge graph 2

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter5: Systems Of Linear Equations

Section5.6: Graphing Systems Of Linear Inequalities

Problem 323E: Tickets for an American Baseball League game for 3 adults and 3 children cost less than $75, while...

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A trailer can carry a maximum weight of 160 pounds and a maximum volume of 15 cubic feet. A microwave oven weighs 30 pounds and has 2 cubic feet of volume, while a printer weighs 20 pounds and has 3 cubic feet of space. (a) Write a system of inequalities to model this situation. (b) Graph the system. (c) Could 4 microwaves and 2 printers be carried on this trailer? (d) Could 7 microwaves and 3 printers be carried on this trailer?