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 compares a linear expression to a value using inequality symbols (>, <, ≥, ≤).
2.
FLASHCARD QUESTION
Front
What does the symbol '≤' mean in a linear inequality?
Back
The symbol '≤' means 'less than or equal to', indicating that the value on the left can be less than or equal to the value on the right.
3.
FLASHCARD QUESTION
Front
What does the symbol '≥' mean in a linear inequality?
Back
The symbol '≥' means 'greater than or equal to', indicating that the value on the left can be greater than or equal to the value on the right.
4.
FLASHCARD QUESTION
Front
How do you graph a linear inequality?
Back
To graph a linear inequality, first graph the corresponding linear equation as a solid line (for ≤ or ≥) or a dashed line (for < or >). Then shade the region that satisfies the inequality.
Tags
CCSS.HSA.REI.D.12
5.
FLASHCARD QUESTION
Front
What is the solution set of a linear inequality?
Back
The solution set of a linear inequality is the set of all points (x, y) that satisfy the inequality.
Tags
CCSS.HSA.REI.D.12
6.
FLASHCARD QUESTION
Front
What is a system of linear inequalities?
Back
A system of linear inequalities is a set of two or more linear inequalities that are considered together.
Tags
CCSS.HSA.REI.D.12
7.
FLASHCARD QUESTION
Front
How do you find the solution set of a system of linear inequalities?
Back
To find the solution set, graph each inequality on the same coordinate plane and identify the region where the shaded areas overlap.
Tags
CCSS.HSA.REI.D.12
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