Which of the following relations on the set 1 2 3 4 is irref

Which of the following relations on the set {1, 2, 3, 4} is irreflexive? Recall that a relation R on the set A is irreflexive if for every a in A, (a, a) is not in R.

Which of the following relations on the set (1, 2, 3, 4) is irreflexive? Recall from recommended exercises that a relation R on the set A is irreflexive if for every a in A, (a, a) is not in R

Solution

A relation in which both elements of an ordered pair are same is called irreflexive.

And it is applied in relation in third option only that is

R={(2,4),(4,2),(1,3),(3,1)}

where both elements in each ordered pair are different .

So third option is correct answer here.