System of 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 inequalities?
Back
A set of two or more 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 solution set of a system of inequalities represent?
Back
The set of all points (x, y) that satisfy all inequalities in the system.
Tags
CCSS.HSA.REI.D.12
4.
FLASHCARD QUESTION
Front
What is the difference between '>' and '≥'?
Back
'>' means greater than (not including the boundary), while '≥' means greater than or equal to (including the boundary).
Tags
CCSS.6.EE.B.8
5.
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 part of the solution set.
6.
FLASHCARD QUESTION
Front
What is the significance of the boundary line in a linear inequality?
Back
The boundary line divides the coordinate plane into two regions; one where the inequality holds true and one where it does not.
Tags
CCSS.HSA.REI.D.12
7.
FLASHCARD QUESTION
Front
What does it mean if a point lies on the boundary line of an inequality?
Back
If the inequality is ≤ or ≥, the point is included in the solution set. If the inequality is < or >, the point is not included.
Tags
CCSS.HSA.REI.D.12
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