Commutative Laws in Set Theory
Commutative Properties in Set Theory
\[A \cup B = B \cup A\] \[A \cap B = B \cap A.\]
Examples
Let set $A = \{1, 2\}$ and set $B = \{1 + i, 2\}$.
| Union |
|---|
| $A \cup B = B \cup A = \{1, 2, 1 + i\}$ |
| Intersection |
|---|
| $A \cap B = B \cap A = \{2\}$ |
Meaning of the used symbols
| Symbol | Meaning |
|---|---|
| $ \{ \} $ | set |
| $ \cup $ | union of sets |
| $ \cap $ | intersection of sets |