Graphing linear inequalities
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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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
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.
3.
FLASHCARD QUESTION
Front
What does the shaded area represent in the graph of a linear inequality?
Back
The shaded area represents all the solutions to the inequality, indicating where the inequality holds true.
4.
FLASHCARD QUESTION
Front
What is the difference between a solid line and a dashed line in graphing inequalities?
Back
A solid line indicates that points on the line are included in the solution (≤ or ≥), while a dashed line indicates that points on the line are not included ( < or >).
5.
FLASHCARD QUESTION
Front
How can you determine if a point is a solution to a linear inequality?
Back
To determine if a point is a solution, substitute the point's coordinates into the inequality. If the inequality holds true, the point is a solution.
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 a solution if the line is solid (≤ or ≥) but not a solution if the line is dashed (< or >).
7.
FLASHCARD QUESTION
Front
What is the standard form of a linear inequality?
Back
The standard form of a linear inequality is Ax + By < C, Ax + By > C, Ax + By ≤ C, or Ax + By ≥ C, where A, B, and C are constants.
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