Tag: laws of set operations

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LAWS OF SET OPERATIONS

(1) Idempotent laws : \(\text{A}\cap \text{A}=\text{A}\) \(\text{A}\cup \text{A}=\text{A}\) (2) Identity laws: \(\displaystyle \text{A}\cap U\text{=A}\) \(\text{A}\cup \phi =\text{A}\) (3) Commutative laws: \(\text{A}\cup \text{B}\,\text{=}\,\text{B}\cup \text{A}\) \(\text{A}\cap \text{B}\,\text{=}\,\text{B}\cap \text{A}\) (4) Associative laws: \(\left( \text{A}\cup \text{B} \right)\cup \text{C}\,=\text{A}\cup \left( \text{B}\cup \text{C} \right)\) \(\text{A}\cap \left( \text{B}\cap \text{C} \right)=\left( \text{A}\cap \text{B} \right)\cap \text{C}\) (5) Distributive Laws: \(\text{A}\cup \left( \text{B}\cap \text{C} \right)=\left( […]