Q. 32

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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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State whether each of the following statements is true or false. Justify your answer.
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