Graph linear inequalities
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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14 questions
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1.
FLASHCARD QUESTION
Front
What does a solid line represent in a graph of a linear inequality?
Back
A solid line indicates that the points on the line are included in the solution set, which occurs when the inequality symbol has 'or equal to' (≥ or ≤).
2.
FLASHCARD QUESTION
Front
What does a dotted line represent in a graph of a linear inequality?
Back
A dotted line indicates that the points on the line are not included in the solution set, which occurs when the inequality symbol does not include 'or equal to' (> or <).
3.
FLASHCARD QUESTION
Front
How do you determine if a point is a solution to a linear inequality?
Back
Substitute the x and y values of the point into the inequality. If the inequality holds true, then the point is a solution.
4.
FLASHCARD QUESTION
Front
What is the general form of a linear inequality in two variables?
Back
5.
FLASHCARD QUESTION
Front
What is the significance of the slope in a linear inequality?
Back
The slope indicates the steepness of the line and the direction of the inequality. A positive slope means the line rises, while a negative slope means it falls.
6.
FLASHCARD QUESTION
Front
How can you graph a linear inequality?
Back
1. Graph the corresponding linear equation as a solid or dotted line. 2. Choose a test point not on the line to determine which side of the line to shade.
7.
FLASHCARD QUESTION
Front
What does the shaded region in a graph of a linear inequality represent?
Back
The shaded region represents all the solutions to the inequality, indicating where the inequality holds true.
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