Question

1. Find the union of each of the following pairs of sets(i) X={1, 3, 5 }(ii) A-Lae, i, o, u} B-{a, b, c}(iii) A xr is a natural number and multiple of 3)Y=(1,2,3)B fx:xis a natural number less than 6)(iv) A-[x : x is a natural number and 1

Answer 1

(i)

The intersection of the sets X and Y is denoted as X∩Y .

Given, X={ 1,3,5 } and Y={ 1,2,3 }

So, the intersection between X and Y is

X∩Y={ 1,3,5 }∩{ 1,2,3 } ={ 1,3 }

Hence, X∩Y={ 1,3 } .

(ii)

The intersection of the sets A and B is denoted as A∩B .

Given, A={ a,e,i,o,u } and B={ a,b,c }

So, the intersection between A and B is

A∩B={ a,e,i,o,u }∩{ a,b,c } ={ a }

Hence, A∩B={ a } .

(iii)

The intersection of the sets A and B is denoted as A∩B .

Given, A={ 3,6,9,... } and B={ 1,2,3,4,5 }

So, the intersection between A and B is

A∩B={ 3,6,9... }∩{ 1,2,3,4,5 } ={ 3 }

Hence, A∩B={ 3 } .

(iv)

The intersection of the sets A and B is denoted as A∩B .

Given, A={ 2,3,4,5,6 } and B={ 7,8,9 }

So, the intersection between A and B is

A∩B={ 2,3,4,5,6 }∩{ 7,8,9 } =ϕ

Hence, A∩B=ϕ .

(v)

The intersection of the sets A and B is denoted as A∩B .

Given, A={ 1,2,3 } and B=ϕ

So, the intersection between A and B is

A∩B={ 1,2,3 }∩ϕ =ϕ

Hence, A∩B=ϕ .