Graphing Linear Inequalities in Two Variables

Flashcard
•
Mathematics
•
9th - 10th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear inequality in two variables?
Back
An inequality that can be expressed in the form ax + by <, >, ≤, or ≥ c, where a, b, and c are constants.
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.
3.
FLASHCARD QUESTION
Front
What does the symbol '≤' mean in a linear inequality?
Back
It means 'less than or equal to', indicating that the values on the left can be equal to or less than the value on the right.
4.
FLASHCARD QUESTION
Front
What does the symbol '≥' mean in a linear inequality?
Back
It means 'greater than or equal to', indicating that the values on the left can be equal to or greater than the value on the right.
5.
FLASHCARD QUESTION
Front
What is the significance of the boundary line in graphing inequalities?
Back
The boundary line divides the coordinate plane into two regions, one where the inequality holds true and one where it does not.
6.
FLASHCARD QUESTION
Front
How do you determine which side of the boundary line to shade?
Back
Choose 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 is true, shade the side containing the test point.
7.
FLASHCARD QUESTION
Front
What is the solution set of a linear inequality?
Back
The set of all points (x, y) that satisfy the inequality, represented graphically by the shaded region.
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