Linear Inequalities Review

Flashcard
•
Mathematics
•
9th - 11th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear inequality?
Back
A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (>, <, ≥, ≤).
2.
FLASHCARD QUESTION
Front
What does it mean for a point to be a solution to a system of inequalities?
Back
A point is a solution to a system of inequalities if it satisfies all inequalities in the system.
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, the point is a solution.
4.
FLASHCARD QUESTION
Front
What is the significance of the boundary line in a linear inequality?
Back
The boundary line represents the values where the inequality changes from true to false. Points on the line may or may not be included in the solution set depending on the inequality symbol.
5.
FLASHCARD QUESTION
Front
When is a boundary line solid?
Back
A boundary line is solid when the inequality includes 'equal to' (≥ or ≤).
6.
FLASHCARD QUESTION
Front
When is a boundary line dashed?
Back
A boundary line is dashed when the inequality does not include 'equal to' (> or <).
7.
FLASHCARD QUESTION
Front
What does the solution set of a linear inequality represent?
Back
The solution set represents all the points (x, y) that satisfy the inequality.
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