What is a linear inequality?
Graphing Linear Inequalities

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•
Mathematics
•
8th - 9th 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 '≥' mean in an inequality?
Back
The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.
3.
FLASHCARD QUESTION
Front
What does the symbol '≤' mean in an inequality?
Back
The symbol '≤' means 'less than or equal to'. It indicates that the value on the left is either less than or equal to the value on the right.
4.
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 (above the line for '>' or '≥', and below the line for '<' or '≤').
5.
FLASHCARD QUESTION
Front
What is the difference between a solid line and a dashed line in graphing inequalities?
Back
A solid line indicates that points on the line are included in the solution (for '≥' or '≤'), while a dashed line indicates that points on the line are not included (for '>' or '<').
6.
FLASHCARD QUESTION
Front
How do you determine if a point is a solution to a linear inequality?
Back
To determine if a point is a solution, substitute the x and y values of the point into the inequality. If the inequality holds true, then the point is a solution.
7.
FLASHCARD QUESTION
Front
What is the solution set of a linear inequality?
Back
The solution set of a linear inequality is the set of all points (x, y) that satisfy the inequality, represented graphically as a shaded region on the coordinate plane.
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