Systems of Inequalities

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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 graph a system of inequalities?
Back
To graph a system of inequalities, first graph each inequality as if it were an equation. Use a dashed line for < or > and a solid line for ≤ or ≥. Then, shade the appropriate region for each inequality, and the solution set is where the shaded regions overlap.
Tags
CCSS.HSA.REI.D.12
3.
FLASHCARD QUESTION
Front
What does the solution set of a system of inequalities represent?
Back
The solution set represents all the points (x, y) that satisfy all inequalities in the system.
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 (≤ or ≥), while a dashed line indicates that points on the line are not included ( < or >).
Tags
CCSS.HSA.REI.D.12
5.
FLASHCARD QUESTION
Front
How can you determine if a point is a solution to a system of inequalities?
Back
To determine if a point is a solution, substitute the x and y values of the point into each inequality. If the point satisfies all inequalities, it is a solution.
6.
FLASHCARD QUESTION
Front
What does it mean if a point is not part of the solution set?
Back
If a point is not part of the solution set, it means that when the coordinates of the point are substituted into the inequalities, at least one inequality is not satisfied.
Tags
CCSS.HSA.REI.D.12
7.
FLASHCARD QUESTION
Front
What is the graphical representation of the inequality y < -2x + 5?
Back
The graphical representation is a dashed line for y = -2x + 5, with the area below the line shaded.
Tags
CCSS.HSA.REI.D.12
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