Question

verify the laws of operations on sets with an example each​

Answer 1

Sets under the operations of union, intersection, and complement satisfy various laws (identities) which are listed in Table 1. Table: Law of ...

Commutative Laws: (a) A ∪ B = B ∪ A

Idempotent Laws: (a) A ∪ A = A

Identity Laws: (a) A ∪ ∅ = A; (b) A ∪ U = U

Associative Laws: (a) (A ∪ B) ∪ C = A ∪ (B ∪ C)

Answer 2

Step-by-step explanation:

Sets under the operations of union, intersection, and complement satisfy various laws (identities) which are listed in Table 1.

...

Algebra of Sets.

Idempotent Laws = (a) A ∪ A = A (b) A ∩ A = A

De Morgan's Laws = (a) (A ∪B)c=Ac∩ Bc (b) (A ∩B)c=Ac∪ Bc

Identity Laws (a) A ∪ ∅ = A (b) A ∪ U = U (c) A ∩ U =A (d) A ∩ ∅ = ∅