Question

write an example to propose that A is subset of B, then A is subset of B =B, A intersection of B =A​

Answer 1

Given:

A is a subset of B=B

A intersection B=A.

To Find:

Example of A and B.

Solution:

A is subset of B means all those elements present in A belongs to B.The resulting set contains all the elements present in B.

and,A intersection B means all those elements which are present in both A and B.The resulting set contains all element present in B.

This is only possible when both the sets are equal.

For example:

Let A be the set of all natural numbers less than 10 which are divisible by 2.

A={x:x∈N,x>10 and x÷2=0}

A={2,4,6,8}

Let B be the set of all natural numbers less than 10 which are even.

A={x:x∈N,x>10 and x is even}

A={2,4,6,8}

Then,

A subset B will contain all elements present in A.

A⊂B={2,4,6,8}.

A intersection B will contain all elements present in B.

A∩B={2,4,6,8}.