Systems of Linear Inequalities
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
FREE Resource
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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 linear inequalities that involve the same variables. The solution to the system is the set of all points that satisfy all inequalities simultaneously.
Tags
CCSS.8.EE.C.8B
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 in the system. If the point satisfies all inequalities, it is a solution.
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 lies in the region defined by the inequalities on a graph, meaning it satisfies all the inequalities.
Tags
CCSS.HSA.REI.D.12
4.
FLASHCARD QUESTION
Front
What is the graphical representation of a linear inequality?
Back
The graphical representation of a linear inequality is a half-plane divided by a line. The line represents the boundary, and the half-plane indicates the region where the inequality holds true.
Tags
CCSS.HSA.REI.D.12
5.
FLASHCARD QUESTION
Front
What is the difference between a solid line and a dashed line in the graph of linear inequalities?
Back
A solid line indicates that the points on the line are included in the solution (≤ or ≥), while a dashed line indicates that the points on the line are not included ( < or > ).
Tags
CCSS.HSA.REI.D.12
6.
FLASHCARD QUESTION
Front
How can you graph a system of linear inequalities?
Back
To graph a system of linear inequalities, first graph each inequality as a line (solid or dashed), then shade the appropriate half-plane for each inequality. The solution region is where the shaded areas overlap.
Tags
CCSS.HSA.REI.D.12
7.
FLASHCARD QUESTION
Front
What is the significance of the intersection of shaded regions in a graph of linear inequalities?
Back
The intersection of shaded regions represents the set of all solutions that satisfy all inequalities in the system.
Tags
CCSS.HSA.REI.D.12
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