Systems of Inequality: Word Problems
Flashcard
•
Mathematics
•
University
•
Practice Problem
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of inequalities?
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 ordered pairs that satisfy all inequalities in the system.
2.
FLASHCARD QUESTION
Front
How do you represent a word problem as a system of inequalities?
Back
Identify the variables, determine the constraints (inequalities), and express the objective (goal) as another inequality.
3.
FLASHCARD QUESTION
Front
What does the inequality x + y ≤ 300 represent in a word problem context?
Back
It indicates that the total number of items (x and y) cannot exceed 300.
4.
FLASHCARD QUESTION
Front
What does the inequality 7.5x + 5.5y ≥ 2000 represent?
Back
It indicates that the total revenue from selling x adult tickets and y child tickets must be at least $2000.
5.
FLASHCARD QUESTION
Front
In the context of a basketball challenge, what does the inequality 2x + 3y ≥ 20 signify?
Back
It signifies that the total points scored from x 2-point shots and y 3-point shots must be at least 20.
6.
FLASHCARD QUESTION
Front
What is the significance of the inequality x + y < 10 in a shooting challenge?
Back
It indicates that the total number of shots taken (x + y) must be less than 10.
7.
FLASHCARD QUESTION
Front
How do you determine if a solution (x, y) is valid for a system of inequalities?
Back
Substitute the values of x and y into each inequality to check if all inequalities are satisfied.
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