Notes by Lex Toumbourou

A merge operation between between 2 Sets.

Represented by the $\cup$ symbol (\cup in LaTeX).

Example (using Listing Method:

$A = \{a, b, c\}$ $B = \{c, d, e\}$ $A \cup B = \{a, b, c, d, e\}$

• It's a Commutative Operation: $A \cup B = B \cup A$
• It's an Associativity Operation: $A \cup (B \cup C) = (A \cup B) \cup C$
• Identity Properties: $A \cup \emptyset = A$
• Complement Properties: $A \cup A'$

See also Intersection