linear inequalities - graphing
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
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 relates a linear expression to a value using inequality symbols (>, <, ≥, ≤) instead of an equal sign.
2.
FLASHCARD QUESTION
Front
What does the graph of a linear inequality represent?
Back
The graph of a linear inequality represents all the solutions that satisfy the inequality, typically shaded on one side of a boundary line.
3.
FLASHCARD QUESTION
Front
How do you determine if a line is solid or dashed when graphing a linear inequality?
Back
A solid line is used for inequalities that include equality (≥ or ≤), while a dashed line is used for strict inequalities (> or <).
4.
FLASHCARD QUESTION
Front
What does the inequality y < 3x - 4 represent graphically?
Back
It represents the region below the line y = 3x - 4, excluding the line itself.
5.
FLASHCARD QUESTION
Front
How do you graph the inequality y ≤ -3x + 1?
Back
Graph the line y = -3x + 1 as a solid line and shade below it to represent all points where y is less than or equal to -3x + 1.
6.
FLASHCARD QUESTION
Front
What is the solution set of the inequality y > -2?
Back
The solution set includes all points above the horizontal line y = -2.
7.
FLASHCARD QUESTION
Front
How do you test 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.
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