What is a linear inequality in two variables?
Linear inequalities (two variables) 12.3.24

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Mathematics
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9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
2.
FLASHCARD QUESTION
Front
How do you graph a linear inequality?
Back
To graph a linear inequality, first graph the corresponding linear equation as a boundary line. Use a dashed line for < or > and a solid line for ≤ or ≥. Then, shade the region that satisfies the inequality.
3.
FLASHCARD QUESTION
Front
What does the symbol '≤' mean in a linear inequality?
Back
The symbol '≤' means 'less than or equal to', indicating that the values of the variable can be equal to the boundary line or less than it.
4.
FLASHCARD QUESTION
Front
What does the symbol '≥' mean in a linear inequality?
Back
The symbol '≥' means 'greater than or equal to', indicating that the values of the variable can be equal to the boundary line or greater than it.
5.
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. It divides the graph into two regions: one that satisfies the inequality and one that does not.
6.
FLASHCARD QUESTION
Front
How do you determine which side of the boundary line to shade?
Back
To determine which side to shade, pick a test point not on the line (commonly (0,0) if it's not on the line) and substitute it into the inequality. If the inequality holds true, shade the side containing the test point.
7.
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, represented graphically by the shaded region on the graph.
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