Find the one false statement concerning the relations the RI

Find the one false statement concerning the relations the RI and R2 on the set {1, 2, 3, 4} where the relations are defined by

And the one false statement concerning the relations the R, Ry the set (1, 2, 3, 49) where the relations are and on defined by R - ca, 1), (2, 3), (4, 1), (2, 2) and R. - (1, 3), (1, 4), (3, 3), (4, 4). Oris transitive O R is neither symmetric nor antisymmetric ORUR is symmetric O Ry is not reflexive

Solution

1. R1 is transitive

This is the false statement

Proof

(3,1) and (1,3) belong to R1 but (3,3) does not . HEnce, R1 is not transitive