Page 13 - Introduction-to-Set-Theory _Main.pdf10001_Neat

Important Properties of Sets

Set theory includes several important properties that govern
set operations. These properties are fundamental to
understanding and working with sets effectively.

Key properties include:

1 Commutative Property

A ∪ B = B ∪ A and A ∩ B = B ∩ A

2 Associative Property

(A ∪ B) ∪ C = A ∪ (B ∪ C) and (A ∩ B) ∩ C = A ∩ (B ∩ C)

3 Distributive Property

A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C) and A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)