Systems of Inequalities
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
Standards-aligned
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 with the same variables. The solution is the set of all points that satisfy all inequalities in the system.
Tags
CCSS.HSA.REI.D.12
2.
FLASHCARD QUESTION
Front
How do you graph a system of inequalities?
Back
To graph a system of inequalities, first graph each inequality as if it were an equation. Then, shade the region that satisfies the inequality. The solution to the system is where the shaded regions overlap.
Tags
CCSS.HSA.REI.D.12
3.
FLASHCARD QUESTION
Front
What does it mean for a point to be a solution to a system of inequalities?
Back
A point is a solution to a system of inequalities if it satisfies all inequalities in the system when substituted into them.
4.
FLASHCARD QUESTION
Front
What is the difference between a solid line and a dashed line in graphing inequalities?
Back
A solid line indicates that points on the line are included in the solution (≥ or ≤), while a dashed line indicates that points on the line are not included (> or <).
Tags
CCSS.HSA.REI.D.12
5.
FLASHCARD QUESTION
Front
How can you determine if a point is a solution to a system of inequalities?
Back
To determine if a point is a solution, substitute the coordinates of the point into each inequality. If the point satisfies all inequalities, it is a solution.
6.
FLASHCARD QUESTION
Front
What is the feasible region in a system of inequalities?
Back
The feasible region is the area on the graph where all shaded regions from the inequalities overlap. It represents all possible solutions to the system.
Tags
CCSS.HSA.REI.D.12
7.
FLASHCARD QUESTION
Front
What is the significance of the vertices of the feasible region?
Back
The vertices of the feasible region are important because they are potential solutions to the system of inequalities and can be used to find optimal solutions in linear programming.
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