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If A = {x : x is a natural number}, B = {x : x is an even natural number}, C = {x : x is an odd natural number} and D = {x : x is a prime number} Find A ∩ B, A ∩ C, A ∩ D, B ∩ C, B ∩ D, C ∩ D. |
Answer» Given sets are A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ……} B = {2, 4, 6, 8, 10, …….} C = {1, 3, 5, 7, 9, …….} D = {2, 3, 5, 7, 11, …….} A ∩ B = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, …….} ∩ {2, 4, 6, 8, 10, ……} = {2, 4, 6, 8, 10, ……} A ∩ C = {1, 2, 3,4, 5, 6, 7, 8, 9, 10, …} ∩ {1, 3, 5, 7, 9 } = {1, 3, 5, 7, 9, ……} A ∩ D = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, …} ∩ {2, 3, -5, 7, 11,….} = {2, 3, 5, 7, 11, ……} B ∩ C = {2, 4, 6, 8, 10, ……} ∩ {1, 3, 5, 7, 9, …….} = { } = φ B ∩ D = {2, 4, 6, 8, 10, ……} ∩ {2, 3, 5, 7, 11, ……} = {2} C ∩ D = {1, 3, 5, 7, 9, ……} ∩ {2, 3, 5, 7, 11, 13, ……} = {3, 5, 7, …..} |
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