What is a system of inequalities?
writing systems of inequalities

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•
Mathematics
•
7th - 11th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A system of inequalities is a set of two or more inequalities that share the same variables. The solution is the set of all points that satisfy all inequalities in the system.
2.
FLASHCARD QUESTION
Front
What do the variables x and y represent in the context of ticket sales?
Back
In the context of ticket sales, x represents the number of adult tickets sold, and y represents the number of children's tickets sold.
3.
FLASHCARD QUESTION
Front
How do you represent the total revenue from ticket sales as an inequality?
Back
4.
FLASHCARD QUESTION
Front
What inequality represents the total number of tickets sold?
Back
5.
FLASHCARD QUESTION
Front
Back
The inequality sign '>' indicates that the total number of tickets sold must be greater than 21.
6.
FLASHCARD QUESTION
Front
How do you graph a system of inequalities?
Back
To graph a system of inequalities, first graph each inequality on the same coordinate plane. The solution set is the region where the shaded areas overlap.
7.
FLASHCARD QUESTION
Front
What does the solution to a system of inequalities represent in a real-world context?
Back
The solution to a system of inequalities represents all possible combinations of the variables that satisfy all conditions, such as ticket sales that meet revenue and quantity requirements.
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