Explain the properties of set operations with examples.

Set operations are fundamental concepts in set theory and are used to manipulate and analyze sets, which are collections of distinct elements. There are several key set operations, each with its own properties. Let's explore these operations along with examples:

1. Union (⋃):
The union of two sets, A and B, denoted as A ⋃ B, is the set that contains all elements that belong to either A or B or both.
Properties:
- Commutative: A ⋃ B = B ⋃ A
- Associative: (A ⋃ B) ⋃ C = A ⋃ (B ⋃ C)
- Identity: A ⋃ ∅ = A (where ∅ ____ _____ _________ _______ ____ ________ ____ _________ _____ ____ _________.
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