
Systems of Linear Inequalities
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of linear inequalities?
Back
A set of two or more linear inequalities involving the same variables.
2.
FLASHCARD QUESTION
Front
What does it mean if a system of linear inequalities has no solution?
Back
It means that the inequalities represent parallel lines that never intersect.
3.
FLASHCARD QUESTION
Front
What is the graphical representation of a linear inequality?
Back
It is represented by a shaded region on one side of a line, which can be solid or dotted.
4.
FLASHCARD QUESTION
Front
When do you use a solid line when graphing an inequality?
Back
You use a solid line for ≤ or ≥, indicating that points on the line are included in the solution.
5.
FLASHCARD QUESTION
Front
What does the symbol '>' indicate in an inequality?
Back
It indicates that the values on the left are greater than the values on the right, not including the boundary.
6.
FLASHCARD QUESTION
Front
How do you determine the solution set for a system of linear inequalities?
Back
The solution set is the region where the shaded areas of all inequalities overlap.
7.
FLASHCARD QUESTION
Front
What is the significance of the intersection of two lines in a system of inequalities?
Back
The intersection represents a point that satisfies both inequalities, which may be a solution.
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