001 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 |