Solving Linear Inequalities
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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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 ≥) instead of an equal sign.
2.
FLASHCARD QUESTION
Front
How do you solve a linear inequality?
Back
To solve a linear inequality, isolate the variable on one side of the inequality using inverse operations, similar to solving an equation, while remembering to reverse the inequality sign if you multiply or divide by a negative number.
3.
FLASHCARD QUESTION
Front
What does the symbol '≤' represent in an inequality?
Back
The symbol '≤' means 'less than or equal to', indicating that the value on the left can be less than or equal to the value on the right.
4.
FLASHCARD QUESTION
Front
What does the symbol '≥' represent in an inequality?
Back
The symbol '≥' means 'greater than or equal to', indicating that the value on the left can be greater than or equal to the value on the right.
5.
FLASHCARD QUESTION
Front
How do you graph a linear inequality on a number line?
Back
To graph a linear inequality on a number line, use an open circle for < or > (not including the endpoint) and a closed circle for ≤ or ≥ (including the endpoint). Shade the region that satisfies the inequality.
6.
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, often represented graphically or in interval notation.
7.
FLASHCARD QUESTION
Front
What is the difference between strict and non-strict inequalities?
Back
Strict inequalities (<, >) do not include the endpoints, while non-strict inequalities (≤, ≥) include the endpoints.
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