Question

A relation 'R' in a set 'A' is called a universal relation, if each element of' A' is related to :-

Options

• Every element of 'A'

• No element of 'A'

• Some element of 'A'

• Any one element of 'A'

Answer 1

Every element of 'A'

Explanation:

Universal relation:- A universal relation 'R' in a set 'A' is one in which each element of 'A' is related to every element of A, i.e.,

R = A × A

eg., let the set A = {1, 2, 3, 4, 5} and 'R' is given by

R = {(a, b): ab > 0}

Here R = {(a, b) : ab > 0} is the whole set A × A as all pairs (a × b) in A × A satisfy ab > 0.

Thus, this is the universal relation.