Solving Systems of Inequalities
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
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 with the same variables. The solution is the region where the graphs of the inequalities overlap.
2.
FLASHCARD QUESTION
Front
What does the symbol '≤' represent in an inequality?
Back
The symbol '≤' means 'less than or equal to'. It indicates that the value can be less than or equal to a certain number.
3.
FLASHCARD QUESTION
Front
What does the symbol '≥' represent in an inequality?
Back
The symbol '≥' means 'greater than or equal to'. It indicates that the value can be greater than or equal to a certain number.
4.
FLASHCARD QUESTION
Front
When graphing the inequality y < 3, what type of line is used?
Back
A dashed line is used when graphing y < 3, indicating that points on the line are not included in the solution.
5.
FLASHCARD QUESTION
Front
How do you determine the solution set for a system of inequalities?
Back
The solution set is determined by finding the region where the graphs of all inequalities overlap.
6.
FLASHCARD QUESTION
Front
What is the significance of a solid line in graphing inequalities?
Back
A solid line indicates that the points on the line are included in the solution set, used for inequalities with '≤' or '≥'.
7.
FLASHCARD QUESTION
Front
What does the inequality y > 2 represent graphically?
Back
The inequality y > 2 represents all points above the horizontal line y = 2, not including the line itself.
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