
System of Linear Inequalities
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of linear inequalities?
Back
A set of two or more linear inequalities that share the same variables.
2.
FLASHCARD QUESTION
Front
How do you graph a system of linear inequalities?
Back
1. Graph each inequality as if it were an equation. 2. Use a dashed line for < or > and a solid line for ≤ or ≥. 3. Shade the appropriate region for each inequality. 4. The solution set is where the shaded regions overlap.
3.
FLASHCARD QUESTION
Front
What does it mean if a point is a solution to a system of inequalities?
Back
It means that the point satisfies all the inequalities in the system.
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.
5.
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 they are not included (> or <).
6.
FLASHCARD QUESTION
Front
How can you determine if a point is a solution to a system of inequalities?
Back
Substitute the point's coordinates into each inequality. If the point satisfies all inequalities, it is a solution.
7.
FLASHCARD QUESTION
Front
What does the solution set of a system of linear inequalities represent?
Back
It represents all the possible solutions that satisfy all inequalities in the system.
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