Systems of Linear Inequalities
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
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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 with the same variables. The solution is the region where the graphs of the inequalities overlap.
Tags
CCSS.HSA.REI.D.12
2.
FLASHCARD QUESTION
Front
How do you graph a linear inequality?
Back
1. Graph the corresponding linear equation as a boundary line. 2. Use a dashed line for < or > and a solid line for ≤ or ≥. 3. Shade the region that satisfies the inequality.
Tags
CCSS.HSA.REI.D.12
3.
FLASHCARD QUESTION
Front
What does the symbol '≥' mean in an inequality?
Back
It means 'greater than or equal to', indicating that the value can be either greater than or equal to a certain number.
Tags
CCSS.6.EE.B.8
4.
FLASHCARD QUESTION
Front
What does the symbol '≤' mean in an inequality?
Back
It means 'less than or equal to', indicating that the value can be either less than or equal to a certain number.
Tags
CCSS.6.EE.B.8
5.
FLASHCARD QUESTION
Front
What is the solution set of a system of inequalities?
Back
The set of all points that satisfy all inequalities in the system, represented graphically as a shaded region.
Tags
CCSS.HSA.REI.D.12
6.
FLASHCARD QUESTION
Front
How can you determine if a point is a solution to a system of inequalities?
Back
Substitute the coordinates of the point into each inequality. If the point satisfies all inequalities, it is a solution.
7.
FLASHCARD QUESTION
Front
What is the significance of the boundary line in a linear inequality?
Back
The boundary line separates the solution region from the non-solution region. Points on the line are included if the inequality is ≤ or ≥.
Tags
CCSS.HSA.REI.D.12
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