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Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A =...

Let `U = {1, 2, 3, 4, 5, 6, 7, 8, 9}`, `A = {1, 2, 3, 4}`, `B = {2, 4, 6, 8 }`and `C = { 3,4, 5, 6 }`. Find
(i) `A^(prime)`
(ii) `B^(prime)`
(iii) `(AuuC)^(prime)`
(iv) `(AuuB)^(prime)`
(v) `(A′)′`
(vi) ` (B – C)′`

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To solve the problem step by step, we will find the required sets based on the definitions of the complement of a set and the operations on sets. ### Given: - Universal Set, \( U = \{1, 2, 3, 4, 5, 6, 7, 8, 9\} \) - Set \( A = \{1, 2, 3, 4\} \) - Set \( B = \{2, 4, 6, 8\} \) - Set \( C = \{3, 4, 5, 6\} \) ...
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