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

Which of the following relations on the set {1, 2, 3, 4} is antisymmetric?

O (1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4), (4,1), 14, 4); O 4(1, 1), (1, 2), (2, 1), (2, 2); O 42, 4), (4, 2), (1, 3), 3, 1 0 1, 1), (1, 2), (2, 2), (2, 3), (3, 3), 3, 4), (4,4), 4, 1

Solution

Which of the following relations on the set {1, 2, 3, 4} is antisymmetric:

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

Because in antisymmetric a,d such that both in relation R (a,b) belongs to R but (b,a) doesnot belongs to R.