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Let U = {1, 2, 3, 4}, A = {1, 2}, B = {1,3} and C = {1, 4}.

(i) Find A'  B and A  B'

(ii) Prove ( A  B )' = A'  B'

 

Asked by Topperlearning User 4th June 2014, 1:23 PM
Answered by Expert
Answer:

Its given that,

U = {1, 2, 3, 4}, A = {1, 2}, B = {1,3} and C = {1, 4}

(i) A' = {3, 4}

Hence, A'  B = {3}

B' = {2. 4}

Hence, A  B' = {1, 2, 4}

(ii) A  B = {1, 2, 3} 

Hence,  (A  B)' = {4}

A'  B' =  {4}

Hence, ( A  B )' = A'  B'

Answered by Expert 4th June 2014, 3:23 PM
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