What is a linear inequality?
Linear Inequalities

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•
Mathematics
•
8th - 10th 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 it mean if a line is dotted in a graph of a linear inequality?
Back
A dotted line indicates that the points on the line are not included in the solution set of the inequality.
3.
FLASHCARD QUESTION
Front
What does it mean if a line is solid in a graph of a linear inequality?
Back
A solid line indicates that the points on the line are included in the solution set of the inequality.
4.
FLASHCARD QUESTION
Front
How do 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, then the point is a solution.
5.
FLASHCARD QUESTION
Front
What is the difference between 'y < mx + b' and 'y ≤ mx + b'?
Back
'y < mx + b' represents a region not including the line, while 'y ≤ mx + b' includes the line.
6.
FLASHCARD QUESTION
Front
What does the symbol '≥' mean in a linear inequality?
Back
The symbol '≥' means 'greater than or equal to', indicating that the value can be equal to or greater than the expression.
7.
FLASHCARD QUESTION
Front
How do you graph the inequality y < 2x + 3?
Back
1. Graph the line y = 2x + 3 with a dotted line. 2. Shade below the line to represent all points where y is less than the line.
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