Graphing Linear Inequalities

Flashcard
•
Mathematics
•
9th 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 relates a linear expression to a value using inequality symbols such as <, >, ≤, or ≥.
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 appropriate region based on the inequality symbol.
3.
FLASHCARD QUESTION
Front
What does the symbol < indicate in a linear inequality?
Back
The symbol < indicates that the values of the variable are less than the value of the expression, and the line is dashed when graphed.
4.
FLASHCARD QUESTION
Front
What does the symbol ≤ indicate in a linear inequality?
Back
The symbol ≤ indicates that the values of the variable are less than or equal to the value of the expression, and the line is solid when graphed.
5.
FLASHCARD QUESTION
Front
What is the significance of shading in the graph of a linear inequality?
Back
Shading indicates the set of solutions that satisfy the inequality; the shaded area represents all the points that make the inequality true.
6.
FLASHCARD QUESTION
Front
How do you determine which side of the line to shade for the inequality y < 2x + 3?
Back
To determine which side to shade, pick a test point not on the line (like (0,0)), substitute it into the inequality, and if the inequality holds true, shade that side.
7.
FLASHCARD QUESTION
Front
What is the difference between strict and non-strict inequalities?
Back
Strict inequalities (<, >) do not include the boundary line, while non-strict inequalities (≤, ≥) include the boundary line.
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