Define a relation R on the set {1, 2, 3, 4} as follows: T = { (1, 4), (2, 3), (2, 4), (4, 1), (2, 1), (1, 2), (3, 2) }

only symmetric

Step-by-step explanation:

Given is a relation R on the set

{1, 2, 3, 4} as follows: T = { (1, 4), (2, 3), (2, 4), (4, 1), (2, 1), (1, 2), (3, 2) }

To check whether reflexive, symmetric or transitive

a) It is not reflexive as (1,1) is not in T

b) It is symmetric because for every (x, y) we get (y, x)

c) Not transitive because counter example is (1,4) (4,1) did not imply (1,1)