Which of the following relations is symmetric Which of the f

Which of the following relations is symmetric?

Which of the following relations is symmetric? {(1, 1), (2, 1), (3, 3)} {(1, 3), (2, 2), (2, 3), (3, 1), (3, 2)} {(1, 1), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2)} {(1, 1), (1, 3), (3, 2), (2, 2), (3, 3)}

Solution

R is symmetric relation if for all x,y A, (x,y) R implies (y,x) R.

then only 2nd relation is symmetric relation.