A.3H Systems of Inequalities

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•
Mathematics
•
7th - 12th 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 with the same variables. The solution is the set of all points that satisfy all inequalities in the system.
2.
FLASHCARD QUESTION
Front
What does the symbol '≤' mean in an inequality?
Back
The symbol '≤' means 'less than or equal to'. It indicates that the value on the left can be less than or equal to the value on the right.
3.
FLASHCARD QUESTION
Front
What does the symbol '≥' mean in an inequality?
Back
The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left can be greater than or equal to the value on the right.
4.
FLASHCARD QUESTION
Front
When graphing the inequality y ≤ 2x - 1, what type of line is used?
Back
A solid line is used when graphing y ≤ 2x - 1 because the inequality includes 'equal to'.
5.
FLASHCARD QUESTION
Front
What type of line is used for the inequality y < -2x + 3?
Back
A dashed line is used for y < -2x + 3 because the inequality does not include 'equal to'.
6.
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 shaded areas of all inequalities overlap on the graph.
7.
FLASHCARD QUESTION
Front
What is the graphical representation of the inequality y > 3x?
Back
The area above the line y = 3x is shaded, and a dashed line is used to indicate that points on the line are not included.
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