    Question

# 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

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Solution

## (i) The given pair of sets is X={ 1,3,5 } and Y={ 1,2,3 }. The union of these sets is, X∪Y={ 1,2,3,5 } (ii) The given pair of sets is A={ a,e,i,o,u } and B={ a,b,c }. The union of these sets is, A∪B={ a,b,c,e,i,o,u }. (iii) The given pair of sets is A={ x:x is a natural number and multiple of 3 } and B={ x:x is a natural number less than 6 }. Then, the set A becomes, A={ 3,6,9,… } And the set B becomes, B={ 1,2,3,4,5 } The union of these sets is, A∪B={ 1,2,4,5,or a multiple of 3 }. (iv) The given pair of sets is A={ x:x is a natural number and 1<x≤6 } and B={ x:x is a natural number and 6<x<10 }. Then, the set A becomes, A={ 2,3,4,5,6 } And the set B becomes, B={ 7,8,9 } The union of these sets is, A∪B={ 2,3,4,5,6,7,8,9 } (v) The given pair of sets is A={ 1,2,3 } and B=ϕ. The union of these sets is A∪B={ 1,2,3 }.  Suggest Corrections  0    Join BYJU'S Learning Program
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