What is a linear inequality?
Solving Linear Inequalities

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•
Mathematics
•
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 (>, <, ≥, ≤).
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
How do you graph a linear inequality?
Back
To graph a linear inequality, first graph the corresponding linear equation as a solid line (for ≥ or ≤) or a dashed line (for > or <). Then shade the region that satisfies the inequality.
4.
FLASHCARD QUESTION
Front
What is the solution set of an inequality?
Back
The solution set of an inequality is the set of all values that make the inequality true.
5.
FLASHCARD QUESTION
Front
How do you solve the inequality x + 5 ≤ 13?
Back
Subtract 5 from both sides: x ≤ 8.
6.
FLASHCARD QUESTION
Front
What does the solution x ≤ 8 represent on a number line?
Back
It represents all numbers to the left of 8, including 8 itself.
7.
FLASHCARD QUESTION
Front
Which point is NOT a solution to the inequality y ≥ -3/4 x + 3?
Back
(5, 10) is NOT a solution because it does not satisfy the inequality.
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