What is a linear inequality?
Linear Inequalities

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•
Mathematics
•
8th - 9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (e.g., <, >, ≤, ≥).
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 dashed line (for < or >) or a solid line (for ≤ or ≥). Then shade the region that satisfies the inequality.
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.
6.
FLASHCARD QUESTION
Front
What does it mean if a point lies on the boundary line of a linear inequality?
Back
If a point lies on the boundary line, it is part of the solution set if the inequality includes equality (≤ or ≥).
7.
FLASHCARD QUESTION
Front
How can you determine if a point is in the solution set of a linear inequality?
Back
To determine if a point is in the solution set, substitute the point's coordinates into the inequality. If the inequality holds true, the point is in the solution set.
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