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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 ∪ B) and hence show that (A ∪ B)’ = A’ ∩ B’. |
Answer» A’ = ∪ - A = { 1,4,5,6} B’ = U - B = { 1,2,6} A’ ∩ B’ = {1,6} A ∩ B = {2,3,4,5} ∴ (A ∪ B)’ = {1, 6} = A’ ∩ B’ |
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