1.

For any two sets A and B, prove the following : (i) A∩(A′∪B)=A∩B (ii) A - (A - B) = A∩B. (iii) A∩(A∪B)′=ϕ (iv) A - B =AΔ(A∪B).

Answer»

For any two sets A and B, prove the following :

(i) A∩(A′∪B)=A∩B

(ii) A - (A - B) = A∩B.

(iii) A∩(A∪B)′=ϕ

(iv) A - B =AΔ(A∪B).



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