Linear Inequalities & Testing Points

Flashcard
•
Mathematics
•
8th - 9th 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 the graph of a linear inequality represent?
Back
The graph of a linear inequality represents all the solutions that satisfy the inequality, typically shaded on one side of a boundary line.
Tags
CCSS.HSA.REI.D.12
3.
FLASHCARD QUESTION
Front
What is the difference between a solid line and a dashed line in graphing inequalities?
Back
A solid line indicates that points on the line are included in the solution (≥ or ≤), while a dashed line indicates that points on the line are not included (> or <).
Tags
CCSS.HSA.REI.D.12
4.
FLASHCARD QUESTION
Front
How do 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. If the inequality holds true, the point is a solution.
5.
FLASHCARD QUESTION
Front
Back
Tags
CCSS.HSA.REI.D.12
6.
FLASHCARD QUESTION
Front
What is the significance of the boundary line in a linear inequality?
Back
The boundary line separates the graph into two regions: one that satisfies the inequality and one that does not.
Tags
CCSS.HSA.REI.D.12
7.
FLASHCARD QUESTION
Front
What does the inequality @@y eq 3x + 7@@ imply about the line?
Back
It implies that the line is not included in the solution set, meaning points on the line do not satisfy the inequality.
Tags
CCSS.HSA.REI.D.12
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