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Find the union and the intersection 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

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(i) X ∪ Y = {1, 2, 3, 5} X ∩ Y = {1, 3} 

(ii) A ∪ B = {a, b, c, e, i, o, u} A ∩ B = {a} 

(iii) A = {3, 6, 9, 12,…….. } B = { 1, 2, 3, 4, 5, 6} 

∴ A ∪ B = {l, 2, 3, 4, 5, 6, 9, 12, ………….. } 

(iv) A = {2, 3, 4, 5, 6} B = {7, 8, 9} 

A ∪ B = {2, 3, 4, 5, 6, 7, 8, 9} 

A ∩ B = {2, 3, 4, 5, 6, 7, 8, 9}

(v) A ∪ B = {1, 2, 3} = A 

A ∩ B = φ = B

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