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Find the union of each of the following pairs of sets:(i) X = {1, 3, 5}; Y = {1, 2, 3}(ii) A = {a, e, i, o, u}; B = {a, b, c}(iii) A = {x: x is a natural number and multiple of 3}B = {x: x is a natural number less than 6}(iv) A = {x: x is a natural number and 1 < x ≤ 6}B = {x: x is a natural number and 6 < x < 10}(v) A = {1, 2, 3}; B = Φ |
Answer» (i) X = {1, 3, 5} ; Y = {1, 2, 3} X ∪ Y= {1, 2, 3, 5} (ii) A = {a, e, i, o, u} ; B = {a, b, c} A ∪ B = {a, b, c, e, i, o, u} (iii) A = {x: x is a natural number and multiple of 3} = {3, 6, 9 …} B = {x: x is a natural number less than 6} = {1, 2, 3, 4, 5, 6} A ∪ B = {1, 2, 4, 5, 3, 6, 9, 12 …} ∴ A ∪ B = {x: x = 1, 2, 4, 5 or a multiple of 3} (iv) A = {x: x is a natural number and 1 < x ≤ 6} = {2, 3, 4, 5, 6} B = {x: x is a natural number and 6 < x < 10} = {7, 8, 9} A ∪ B = {2, 3, 4, 5, 6, 7, 8, 9} ∴ A∪ B = {x: x ∈ N and 1 < x < 10} (v) A = {1, 2, 3}, B = Φ A ∪ B = {1, 2, 3} |
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