Solving Inequalities

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•
Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is an inequality?
Back
An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.
2.
FLASHCARD QUESTION
Front
What does the symbol '>' mean in an inequality?
Back
The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.
3.
FLASHCARD QUESTION
Front
What does the symbol '<' mean in an inequality?
Back
The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.
4.
FLASHCARD QUESTION
Front
How do you solve the inequality: 3 - 2x > 7?
Back
Subtract 3 from both sides: -2x > 4. Then divide by -2 (remember to flip the inequality): x < -2.
5.
FLASHCARD QUESTION
Front
How do you solve the inequality: 2(x - 4) > 10?
Back
Distribute 2: 2x - 8 > 10. Add 8 to both sides: 2x > 18. Then divide by 2: x > 9.
6.
FLASHCARD QUESTION
Front
How do you solve the inequality: 3x + 5 > 10?
Back
Subtract 5 from both sides: 3x > 5. Then divide by 3: x > 5/3.
7.
FLASHCARD QUESTION
Front
How do you solve the inequality: 3x + 8 < 5?
Back
Subtract 8 from both sides: 3x < -3. Then divide by 3: x < -1.
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