What is a linear inequality?
Graphing Linear Inequalities

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•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols such as <, >, ≤, or ≥.
2.
FLASHCARD QUESTION
Front
What does the symbol '≥' indicate in an inequality?
Back
The symbol '≥' indicates that the value on the left is greater than or equal to the value on the right.
3.
FLASHCARD QUESTION
Front
What does the symbol '≤' indicate in an inequality?
Back
The symbol '≤' indicates that the value on the left is less than or equal to the value on the right.
4.
FLASHCARD QUESTION
Front
How do you graph a linear inequality?
Back
1. Graph the corresponding linear equation as a boundary line. 2. Use a solid line for '≥' or '≤' and a dashed line for '>' or '<'. 3. Shade the region that satisfies the inequality.
5.
FLASHCARD QUESTION
Front
What is the solution set of an inequality?
Back
The solution set of an inequality is the set of all points (x, y) that make the inequality true.
6.
FLASHCARD QUESTION
Front
How can you tell if a point is in the solution set of an inequality?
Back
Substitute the coordinates of the point into the inequality. If the inequality holds true, the point is in the solution set.
7.
FLASHCARD QUESTION
Front
What is the significance of a solid boundary line in graphing inequalities?
Back
A solid boundary line indicates that points on the line are included in the solution set (for '≥' or '≤').
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