Q. 32

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’
(ii) B’
(iii) (A ∩ C)’
(iv) (A ∪ B)’
(v) (A‘)’
(vi) (B - C)’



Answer :


(i) A’ = {5, 6, 7, 8, 9}
(ii) B’ = {1, 3, 5, 7, 9}
(iii) (A ∩ C) = {3, 4}
      (A ∩ C)’ = {1, 2, 5, 6, 7, 8, 9}
(iv) (A ∪ B) = {1, 2, 3, 4, 6, 8}
      (A ∪ B)’ = {5, 7, 9}
(v) (A‘) = {5, 6, 7, 8, 9}
      (A‘)' = {1, 2, 3, 4}
(vi) (B - C) = {2, 8}
      (B - C)’ = {1, 3, 4, 5, 6, 7, 9}

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