SOLUTIONS TO SYSTEMS OF INEQUALITIES

Flashcard
•
Mathematics
•
8th Grade
•
Hard
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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 that share the same variables. The solution is the set of all points that satisfy all inequalities in the system.
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 coordinates of the point into each inequality. If the point satisfies all inequalities, it is a solution.
3.
FLASHCARD QUESTION
Front
What does it mean if a line is solid in a graph of inequalities?
Back
A solid line indicates that the points on the line are included in the solution set, meaning the inequality is 'greater than or equal to' (≥) or 'less than or equal to' (≤).
4.
FLASHCARD QUESTION
Front
What does it mean if a line is dotted in a graph of inequalities?
Back
A dotted line indicates that the points on the line are not included in the solution set, meaning the inequality is 'greater than' (>) or 'less than' (<).
5.
FLASHCARD QUESTION
Front
What is the graphical representation of a solution to a system of inequalities?
Back
The graphical representation is the shaded region where all inequalities overlap, indicating all possible solutions.
6.
FLASHCARD QUESTION
Front
What is the significance of the intersection of two inequalities?
Back
The intersection represents the set of points that satisfy both inequalities, which is the solution to the system.
7.
FLASHCARD QUESTION
Front
How can you test if a point is not a solution to a system of inequalities?
Back
Substitute the point's coordinates into each inequality. If it fails to satisfy any inequality, it is not a solution.
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