Question

Universal relation on a set A and universal set has same elements

• A. True
• B. False

Answer 1

The correct option is B

False

Universal set is a set is which is the superset of all the sets we consider in a discussion/problem. In this case, the elements of set A will also be part of universal set. Whereas universal relation will contain ordered pairs from A $\times$ A. Also, we saw that we can define universal set according to our convenience and context. This will have fixed number of elements if we define the relation for a given set. From these observations we can say that universal relation and universal set will have different elements or they are not same.