Interval Notation Calculator
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Result
Interval Operations
Common interval operations:
- Union (A ∪ B): All elements in A or B
- Intersection (A ∩ B): Elements common to both A and B
- Complement (A'): All elements not in A
Properties
| Property | Description |
|---|---|
| Commutative | A ∪ B = B ∪ A, A ∩ B = B ∩ A |
| Associative | (A ∪ B) ∪ C = A ∪ (B ∪ C) |
| Distributive | A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C) |
| De Morgan's Laws | (A ∪ B)' = A' ∩ B' |
Applications
- Set theory and mathematical analysis
- Domain and range calculations
- Solution sets of inequalities
- Real number line representations
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