Solving Systems of Linear Inequalities

Flashcard
•
Mathematics
•
8th - 12th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of linear inequalities?
Back
A system of linear inequalities is a set of two or more inequalities that involve 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 determine if a point is a solution to a system of linear 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 part of the solution set.
3.
FLASHCARD QUESTION
Front
What does it mean to graph a linear inequality?
Back
Graphing a linear inequality involves drawing a boundary line (solid or dashed) and shading the region that represents all solutions to the inequality.
Tags
CCSS.HSA.REI.D.12
4.
FLASHCARD QUESTION
Front
When do you use a solid line when graphing inequalities?
Back
A solid line is used when the inequality includes '≤' or '≥', indicating that points on the line are included in the solution set.
Tags
CCSS.HSA.REI.D.12
5.
FLASHCARD QUESTION
Front
When do you use a dashed line when graphing inequalities?
Back
A dashed line is used when the inequality includes '<' or '>', indicating that points on the line are not included in the solution set.
Tags
CCSS.HSA.REI.D.12
6.
FLASHCARD QUESTION
Front
What is the solution set of a system of linear inequalities?
Back
The solution set is the region on the graph where the shaded areas of all inequalities overlap, representing all possible solutions.
Tags
CCSS.HSA.REI.D.12
7.
FLASHCARD QUESTION
Front
How can you check if a point is in the solution set of a system of inequalities?
Back
Substitute the point's coordinates into each inequality. If it satisfies all inequalities, it is in the solution set.
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