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Solution


Q.

Which of the following is correct
1 A∪B≠A∪A'  
2 (A∩B)'=A'∪B'  
3 (A'∪B')≠A'∪A  
4 (A∩B)'≠A'∩B'  

Ans.

(2)

(1) Fact A∪A'=U≠A∪B  for all cases

(2) (A∩B)'=A'∪B',  which is correct

(3) A'∪B'=(A∩B)'≠A'∪A=U

(4) (A∩B)'=A'∪B'≠A'∩B'