Graphing Systems of Inequalities and Equations

Flashcard
•
Mathematics
•
7th - 8th Grade
•
Easy
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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 that share the same variables. The solution is the set of all points that satisfy all inequalities in the system.
2.
FLASHCARD QUESTION
Front
What does it mean to graph an inequality?
Back
Graphing an inequality involves drawing a line (or curve) on a coordinate plane that represents all the solutions to the inequality. The area above or below the line indicates the solutions.
3.
FLASHCARD QUESTION
Front
When do you use a solid line when graphing inequalities?
Back
A solid line is used when the inequality includes '≤' or '≥', indicating that points on the line are included in the solution set.
4.
FLASHCARD QUESTION
Front
What does a dashed line represent in graphing inequalities?
Back
A dashed line represents that the points on the line are not included in the solution set, used for inequalities with '<' or '>'.
5.
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 part of the solution set.
6.
FLASHCARD QUESTION
Front
What is the solution set of a system of inequalities?
Back
The solution set is the region on the graph where the shaded areas of all inequalities overlap, representing all possible solutions.
7.
FLASHCARD QUESTION
Front
How do you graph the inequality y < 2x + 3?
Back
Graph the line y = 2x + 3 with a dashed line, then shade below the line to represent all points where y is less than 2x + 3.
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