Task #3: System of Linear Inequalities Graphs
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Mathematics
•
9th Grade
•
Hard
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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 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 linear inequality?
Back
To graph a linear inequality, first graph the corresponding linear equation as a boundary line. Use a dashed line for inequalities that do not include equality (e.g., < or >) and a solid line for those that do (e.g., ≤ or ≥). Then shade the region that satisfies the inequality.
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, meaning it lies in the shaded region of the graph.
Tags
CCSS.HSA.REI.D.12
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 (for ≤ or ≥), while a dashed line indicates that points on the line are not included (for < or >).
Tags
CCSS.HSA.REI.D.12
5.
FLASHCARD QUESTION
Front
How can you determine if a point is a solution to a linear inequality?
Back
To determine if a point is a solution, substitute the x and y values of the point into the inequality. If the inequality holds true, then the point is a solution.
6.
FLASHCARD QUESTION
Front
Back
Tags
CCSS.HSA.REI.D.12
7.
FLASHCARD QUESTION
Front
What does the solution set of a system of inequalities look like?
Back
The solution set is represented by the overlapping shaded regions of the inequalities on the graph, indicating all points that satisfy all inequalities.
Tags
CCSS.HSA.REI.D.12
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