
Understanding linear inequalities in two variables

Flashcard
•
Mathematics
•
7th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear inequality in two variables?
Back
2.
FLASHCARD QUESTION
Front
What does it mean for a point to be a solution of a linear inequality?
Back
A point (x, y) is a solution of a linear inequality if, when substituted into the inequality, it makes the inequality true.
3.
FLASHCARD QUESTION
Front
What is a non-solution point in the context of linear inequalities?
Back
A non-solution point is a point that does not satisfy the linear inequality when substituted into it.
4.
FLASHCARD QUESTION
Front
How can you determine if a point is a solution to a linear inequality?
Back
To determine if a point is a solution, substitute the x and y values of the point into the inequality and check if the inequality holds true.
5.
FLASHCARD QUESTION
Front
What is the graphical representation of a linear inequality?
Back
The graphical representation of a linear inequality is a region on the coordinate plane, often bounded by a dashed or solid line, indicating all the solutions to the inequality.
6.
FLASHCARD QUESTION
Front
What does a dashed line represent in the graph of a linear inequality?
Back
A dashed line indicates that points on the line are not included in the solution set (for inequalities like < or >).
7.
FLASHCARD QUESTION
Front
What does a solid line represent in the graph of a linear inequality?
Back
A solid line indicates that points on the line are included in the solution set (for inequalities like ≤ or ≥).
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