A college student works in both the school cafeteria and library. She works no more than 10 hours per week at the cafeteria, and no more than 16 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≤ 20, y≤ 17 Use the graphing tool on the right to graph the feasible region for the system of inequalities. Click to enlarge graph

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.6: Systems Of Inequalities
Problem 44PFA
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A college student works in both the school cafeteria and
library. She works no more than 10 hours per week at the
cafeteria, and no more than 16 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≤ 20, y≤ 17
Use the graphing tool on the right to graph the feasible
region for the system of inequalities.
Click to
enlarge
graph
Transcribed Image Text:A college student works in both the school cafeteria and library. She works no more than 10 hours per week at the cafeteria, and no more than 16 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≤ 20, y≤ 17 Use the graphing tool on the right to graph the feasible region for the system of inequalities. Click to enlarge graph
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