Systems of Inequalities
Flashcard
•
Mathematics
•
8th - 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
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 the inequalities in the system when substituted into them.
3.
FLASHCARD QUESTION
Front
How do you graph a system of inequalities?
Back
1. Graph each inequality as if it were an equation. 2. Use a dashed line for < or > and a solid line for ≤ or ≥. 3. Shade the appropriate region for each inequality. 4. The solution is where the shaded regions overlap.
Tags
CCSS.HSA.REI.D.12
4.
FLASHCARD QUESTION
Front
What is the significance of the boundary line in a system of inequalities?
Back
The boundary line represents the points where the inequality changes from true to false. Points on the line are included if the inequality is ≤ or ≥.
Tags
CCSS.HSA.REI.D.12
5.
FLASHCARD QUESTION
Front
What does the term 'feasible region' refer to in the context of inequalities?
Back
The feasible region is the area on the graph that satisfies all the inequalities in the system. It represents all possible solutions.
Tags
CCSS.HSA.REI.D.12
6.
FLASHCARD QUESTION
Front
What is the difference between a strict inequality and a non-strict inequality?
Back
A strict inequality (< or >) does not include the boundary line, while a non-strict inequality (≤ or ≥) includes the boundary line.
Tags
CCSS.6.EE.B.8
7.
FLASHCARD QUESTION
Front
How can you determine if a point is a solution to a system of inequalities?
Back
Substitute the coordinates of the point into each inequality. If the point satisfies all inequalities, it is a solution.
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