Linear Inequalities and Systems of Linear Inequalities

Flashcard
•
Mathematics
•
9th Grade
•
Hard
Standards-aligned
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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 relates a linear expression to a value using inequality symbols (>, <, ≥, ≤) instead of an equal sign.
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 the 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
What is a system of linear inequalities?
Back
A system of linear inequalities consists of two or more linear inequalities that are considered simultaneously.
Tags
CCSS.HSA.REI.D.12
6.
FLASHCARD QUESTION
Front
How do you graph a system of linear inequalities?
Back
Graph each inequality on the same coordinate plane, using solid or dashed lines as appropriate, and shade the solution regions. The solution set is where the shaded areas overlap.
Tags
CCSS.HSA.REI.D.12
7.
FLASHCARD QUESTION
Front
What does it mean for a point to be part of the solution set of a system of inequalities?
Back
A point is part of the solution set if it satisfies all inequalities in the system.
Tags
CCSS.HSA.REI.D.12
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