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If A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8} and C = {10, 11, 12, 13, 14}, find:(i) A ∪ B (ii) B ∪ C (iii) A ∪ C (iv) B ∪ D (v) (A ∪ B) ∪ C (vi) (A ∪B) ∩C (vii) (A ∩ B) ∪D (viii) (A ∩ B) ∪ (B ∩ C) (ix) (A ∩ C) ∩ (C ∪ D |
Answer» Given; A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8} and C = {10, 11, 12, 13, 14} (i) A ∪ B = {1, 2, 3, 4, 5, 6, 7, 8} (ii) B ∪ C = {4, 5, 6, 7, 8, 10, 11, 12, 13, 14} (iii) A ∪ C = {1, 2, 3, 4, 5, 10, 11, 12, 13, 14} (iv) B ∪ D (v) (A ∪ B) ∪ C = {1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14} (vi) (A ∪B) ∩C = Φ or {} (vii) (A ∩ B) ∪D = (viii) (A ∩ B) ∪ (B ∩ C) = Φ or {} (ix) (A ∩ C) ∩ (C ∪ D = |
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