Q. 25

If A = {

Answer :


(i) A ∩ B = {7, 9, 11}
(ii) B ∩ C = {11, 13}
(iii) A ∩ C ∩ B = {11}
(iv) A ∩ C = {11}
(v) B ∩ D = {}
(vi) A ∩ (B ∩ C) = {11}
(vii) A ∩ D = {}
(viii) A ∩ (B ∩ D) = {3, 5, 7, 9, 11} ∩ {} = {}
(ix)   (A ∩ B) ∩ (B ∪ C) = {7, 9, 11} ∩ {7, 9, 11, 13, 15} = {7, 9, 11}
(x)    (A ∪ B) ∩ (B ∪ C) = {3, 5, 7, 9, 11, 13} ∩ {7, 9, 11, 13, 15}
                                 = {7, 9, 11, 13}

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