Solutions to Systems of Inequalities- Graphs!
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Mathematics
•
9th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of inequalities?
Back
A system of inequalities is a set of two or more inequalities with 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 inequalities?
Back
To determine if a point is a solution, substitute the point's coordinates into each inequality. If the point satisfies all inequalities, it is a solution.
3.
FLASHCARD QUESTION
Front
What does it mean for a point to be in the overlap of shaded regions?
Back
A point is in the overlap of shaded regions if it satisfies all inequalities represented by the shaded areas in a graph.
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 is dashed if the inequality is strict (>, <) and solid if it is inclusive (≥, ≤).
Tags
CCSS.HSA.REI.D.12
5.
FLASHCARD QUESTION
Front
Back
Tags
CCSS.HSA.REI.D.12
6.
FLASHCARD QUESTION
Front
What is the difference between a strict and non-strict inequality?
Back
A strict inequality (>, <) does not include the boundary line, while a non-strict inequality (≥, ≤) includes the boundary line.
Tags
CCSS.HSA.REI.D.12
7.
FLASHCARD QUESTION
Front
How do you solve a system of inequalities by graphing?
Back
1. Graph each inequality on the same coordinate plane. 2. Identify the overlapping shaded region, which represents the solution set.
Tags
CCSS.HSA.REI.D.12
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