
Systems of Linear Inequalities Flashcard
Flashcard
•
Mathematics
•
9th 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 share the same variables. The solution set is the region where the graphs of the inequalities overlap.
Tags
CCSS.HSA.REI.D.12
2.
FLASHCARD QUESTION
Front
How do you determine if a point is in the solution set of a linear inequality?
Back
To determine if a point is in the solution set of a linear inequality, substitute the x and y values of the point into the inequality. If the inequality holds true, the point is in the solution set.
3.
FLASHCARD QUESTION
Front
What does it mean for a point to satisfy a linear inequality?
Back
A point satisfies a linear inequality if, when its coordinates are substituted into the inequality, the resulting statement is true.
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 boundary line. The line is solid if the inequality is inclusive (≤ or ≥) and dashed if it is exclusive (< or >).
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 points on the line are included in the solution set (for ≤ or ≥), while a dashed line indicates that points on the line are not included (for < or >).
Tags
CCSS.HSA.REI.D.12
6.
FLASHCARD QUESTION
Front
How do you graph a system of linear inequalities?
Back
To graph a system of linear inequalities, graph each inequality on the same coordinate plane, shading the appropriate half-plane for each. The solution set is where the shaded regions overlap.
Tags
CCSS.HSA.REI.D.12
7.
FLASHCARD QUESTION
Front
What is the solution set of a system of linear inequalities?
Back
The solution set of a system of linear inequalities is the set of all points (x, y) that satisfy all inequalities in the system, represented graphically as the overlapping shaded region.
Tags
CCSS.HSA.REI.D.12
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