Question

Let U = {1, 2, 3, 4, 5, 6}, A = {2,3} and B = {3,4,5).
Find A', B', A' B', A UB and hence show that (AUB)' = A'N B'.​

Answer 1

Answer:

Step-by-step explanation:

(first up all pls mark this ans as  brainliest coz just need 2 more brainliest ans for next rank ) here is ur ans

ANSWER

U = {1,2,3,4,5,6}

A = {2,3}

B = {3,4,5}

A∪B={2,3} ∪ {3,4,5} = {2,3,4,5}

Therefore, (A∪B)  

′

 = {1,6}

Also, A  

′

 = {1,4,5,6}

B  

′

 = {1,2,6}

Therefore, A  

′

∩B  

′

 = {1,4,5,6} ∩ {1,2,6} = {1,6}

Hence, (A∪B)  

′

=A  

′

∩B  

′

.