for two tasks: (1) painting over graffiti, and (2) picking up trash. The following conditions are imposed on the program: 1) A student may not serve for more than 7 total hours per week. 2) A student must serve at least 1 hour per day at each task. Let g = the number of hours a student spends in a week painting over graffiti. t = the number of hours a student spends in a week picking up trash. g+t <7 g 21 t 21 System of Inequalities: ections: Graph the given inequalities. Shade only the solution set (triple- shaded region) of the system of inequalities with color red. y 12

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

Graph the given inequalities:

g+t ≤ 7

g ≥ 1

t ≥ 1

Situation:
In a community service program, Grade 8 students earn points in their
Scouting for two tasks: (1) painting over graffiti, and (2) picking up trash.
The following conditions are imposed on the program:
1) A student may not serve for more than 7 total hours per week.
2) A student must serve at least 1 hour per day at each task.
Let g = the number of hours a student spends in a week painting over graffiti.
t = the number of hours a student spends in a week picking up trash.
%3D
g+t <7
g 21
t 1
System of Inequalities:
Directions: Graph the given inequalities. Shade only the solution set (triple-
shaded region) of the system of inequalities with color red.
y
12
Transcribed Image Text:Situation: In a community service program, Grade 8 students earn points in their Scouting for two tasks: (1) painting over graffiti, and (2) picking up trash. The following conditions are imposed on the program: 1) A student may not serve for more than 7 total hours per week. 2) A student must serve at least 1 hour per day at each task. Let g = the number of hours a student spends in a week painting over graffiti. t = the number of hours a student spends in a week picking up trash. %3D g+t <7 g 21 t 1 System of Inequalities: Directions: Graph the given inequalities. Shade only the solution set (triple- shaded region) of the system of inequalities with color red. y 12
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