Question

State and prove De Morgan’s law.

Answer 1

Answer:

The complement of the union of two sets is equal to the intersection of their complements and the complement of the intersection of two sets is equal to the union of their complements. These are called De Morgan's laws.

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Answer 2

Answer:

The complement of the union of two sets is equal to the intersection of their complements and the complement of the intersection of two sets is equal to the union of their complements. ... For any two finite sets A and B; (i) (A U B)' = A' ∩ B' (which is a De Morgan's law of union).