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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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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