InterviewSolution
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If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} andD = {15, 17}; find(i) A ∩ B(ii) B ∩ C(iii) A ∩ C ∩ D(iv) A ∩ C(v) B ∩ D(vi) A ∩ (B∪C)(vii) A ∩ D(viii)A ∩ (B∪D)(ix) (A ∩ B) ∩ (B∪C)(x) (A∪D) ∩ (B∪C) |
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Answer» (i) A ∩ B = {7, 9, 11} (ii) B ∩ C = {11, 13} (iii) A ∩ C ∩ D = { A ∩ C} ∩ D = {11} ∩ {15, 17} = Φ (iv) A ∩ C = {11} (v) B ∩ D = Φ (vi) A ∩ (B∪ C) = (A ∩ B)∪ (A ∩ C) = {7, 9, 11}∪ {11} = {7, 9, 11} (vii) A ∩ D = Φ (viii) A ∩ (B∪ D) = (A ∩ B) (A ∩ D) = {7, 9, 11} ∪Φ = {7, 9, 11} (ix) (A ∩ B) ∩ (B∪ C) = {7, 9, 11} ∩ {7, 9, 11, 13, 15} = {7, 9, 11} (x) (A∪ D) ∩ (B ∪C) = {3, 5, 7, 9, 11, 15, 17) ∩ {7, 9, 11, 13, 15} = {7, 9, 11, 15} |
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