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sets - Coggle Diagram

- - - - Combining elements of two sets
        
        Notation: A ∪ B
  - - - Common elements of two sets
        
        Notation: A ∩ B
  - - - Elements not in a set
        
        Notation: A'
- - - - Example
        
        {1, 2, 3}
- - - - Set A is a subset of B if every element of A is also in B
        
        Notation: A ⊆ B
- - - - A ∪ B = B ∪ A
        
        A ∩ B = B ∩ A
    - - Associative Law
        
        (A ∪ B) ∪ C = A ∪ (B ∪ C)
        
        (A ∩ B) ∩ C = A ∩ (B ∩ C)
    - - Distributive Law
        
        A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)
        
        A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)