The relation R in the set $\{1,2,3,4\}$ given by $\mathrm{R}=\{(1,2),(2,2),(1,1),(4,4),(1,3),(3,2)$,

Question

The relation R in the set $\{1,2,3,4\}$ given by $\mathrm{R}=\{(1,2),(2,2),(1,1),(4,4),(1,3),(3,2)$, $(3,3)\}$ is

Professor PC Thomas Classes · Answer

It is reflexive since (1,1), (2,2), (3,3), (4,4) are present. Transitive because (1,3) and (3,2) implies (1,2) which is present. Not symmetric because (1,2) is present but (2,1) is not.