Solving Linear Inequalities

Flashcard
•
Mathematics
•
12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
Define 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 ≥).
2.
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 satisfy the inequality.
3.
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.
4.
FLASHCARD QUESTION
Front
What does the symbol '≤' represent in inequalities?
Back
The symbol '≤' means 'less than or equal to', indicating that the value can be either less than or equal to the number.
5.
FLASHCARD QUESTION
Front
What does the symbol '≥' represent in inequalities?
Back
The symbol '≥' means 'greater than or equal to', indicating that the value can be either greater than or equal to the number.
6.
FLASHCARD QUESTION
Front
Solve the inequality: 2x + 5 < 15.
Back
x < 5.
7.
FLASHCARD QUESTION
Front
Solve the compound inequality: 4 ≤ 2x - 3 < 10.
Back
3.5 ≤ x < 6.5.
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