verify the laws of operations on sets with an example each
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verify the laws of operations on sets with an example each
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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)
Step-by-step explanation:
Sets under the operations of union, intersection, and complement satisfy various laws (identities) which are listed in Table 1.
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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 ∩ ∅ = ∅