Find the union of each of the following pairs of sets

(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}

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 = {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

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, 3}