1.

Let A = {a, b, c}, B = {b, c, d, e} and = {c, d, e, f} be subsets of U = {a, b, c, d, e, f}. Then verify that: (i) (A’)’ = A (ii) (A ∪ B)’ = (A’ ∩ B’) (iii) (A ∩ B)’ = (A’ ∪ B’)

Answer»

(i) A’ = {d, e, f} 

(A’)’ = {a, b, c} = A 

Hence proved 

(ii) A∪B = {a, b, c, d, e} 

(A∪B)’ = {f} 

A’ = {d, e, f} 

B’ = {a, f} 

A’∩B’ = {f} 

(A∪B)’ = (A’∩B’) 

Hence proved 

(iii) A’∪B’ = {a, d, e, f} 

A∩B = (b, c} 

(A∩B)’ = {a, d, e, f} 

(A∩B)’ = A’∪B’ 

Hence proved



Discussion

No Comment Found

Related InterviewSolutions