Question: Defining the difference A B between two sets A and B belonging to the same universal set U to be the set of elements

Defining the difference A – B between two sets A and B belonging to the same universal set U to be the set of elements of A that are not elements of B, that is A – B = A ∩ B̅, verify the following properties:

(a) U - A = A (c) CN (A - B) = (CNA) - (Cn B) (d) (A U B) U (BA) = AUB (b) (AB) UB=AUB

Illustrate the identities using Venn diagrams.

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