Question

Universal relation defined on a set A is Symmetric

• A. True
• B. False

Answer 1

The correct option is A

True

In a universal relation, all the elements will be related to every element in the set, including itself. We want to check if it is symmetric. For a relation to be symmetric, if there is an element (a,b) then there should be an element (b,a). Since every b will be related to every element, it will also be related to a in a universal relation. So we can say that the universal will be symmetric .