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

Asked by Pragya Singh | 1 year ago | 69

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

Let A and B be any two sets. The union of A and B is the set which consists of all the elements of A and B.

So the union of the pairs of set can be written as

X ∪ Y= {1, 2, 3, 5}

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

Let A and B be any two sets. The union of A and B is the set which consists of all the elements of A and B.

So the union of the pairs of set can be written as

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}

Let A and B be any two sets. The union of A and B is the set which consists of all the elements of A and B.

So the union of the pairs of set can be written as

A ∪ B = {1, 2, 4, 5, 3, 6, 9, 12 …}

Hence, 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}

So the union of the pairs of set can be written as

A∪ B = {2, 3, 4, 5, 6, 7, 8, 9}

Hence, A∪ B = {x: x ∈ N and 1 < x < 10}

**(v)** A = {1, 2, 3}, B = Φ

So the union of the pairs of set can be written as

A∪ B = {1, 2, 3}

Answered by Abhisek | 1 year agoFind the symmetric difference A Δ B, when A = {1, 2, 3} and B = {3, 4, 5}.