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Home  >>  AIMS  >>  Class11  >>  Math  >>  Sets
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Let U = {1, 2, 3, 4, 5, 6}, A = {2, 3} and B = {3, 4, 5}. \[\] Find A', B' , A' B', A $ \cap $ B and hence show that (A $ \cup $ B)' = A' $ \cap $ B'.

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Clearly A' = {1, 4, 5, 6}, B' = {1, 2, 6}. Hence A' $ \cap $ B' = {1, 6}
Also A $ \cup $ B = {2, 3, 4, 5}, so that (A $ \cup $ B)' = {1, 6}
(A $ \cup $ B)' = {1, 6} = A' $ \cap $ B'
answered Jun 18, 2014 by thanvigandhi_1
 

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