Question

Can the union of two sets have a solution of a null set?why or why not?

Answer 1

Let's assume we have two sets

First set is A

second set is B

we know that

Union of two sets is the set that contains elements or objects that belong to either A or to B or to both.

So, it does not leave any element from any set

So, for union of two sets to become null , sets A and B won't have any element

For example:

set A={ }

set B= { x :  for all real value of x ,x^2 +1=0 }

Since, set B won't have any elements

so,

A∪B=Ф

Yes, the union of two sets have a solution of a null set........Answer