Graphing Linear Inequalities Test

Flashcard
•
Mathematics
•
9th - 11th Grade
•
Hard
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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
How do you graph a linear inequality?
Back
To graph a linear inequality, first graph the corresponding linear equation as a dashed or solid line, then shade the region that satisfies the inequality.
3.
FLASHCARD QUESTION
Front
What does it mean if a point is a solution to a linear inequality?
Back
A point is a solution to a linear inequality if it lies in the shaded region of the graph, meaning it satisfies the inequality.
4.
FLASHCARD QUESTION
Front
What is the difference between a dashed line and a solid line in graphing inequalities?
Back
A dashed line indicates that points on the line are not included in the solution (for < or >), while a solid line indicates that points on the line are included (for ≤ or ≥).
5.
FLASHCARD QUESTION
Front
How can you determine if a point is a solution to a linear inequality?
Back
Substitute the coordinates of the point into the inequality. If the inequality holds true, the point is a solution.
6.
FLASHCARD QUESTION
Front
What does the inequality y > 1/2x + 2 represent graphically?
Back
It represents the region above the line y = 1/2x + 2, not including the line itself.
7.
FLASHCARD QUESTION
Front
What is the solution set of a linear inequality?
Back
The solution set is the collection of all points that satisfy the inequality, represented graphically by the shaded region.
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