R13 24 is it reflexive transitive symmetric or antisymmetric

R={(1,3), (2,4)} is it reflexive, transitive, symmetric, or antisymmetric

Solution

it is not reflexive because (1,1),(2,2),(3,3),(4,4) is not there.

it is not symmetric because (3,1) and (4,2) are not there.

it is not transitive because transitive means if (a,b) -> R and (b,c) -> R then (a,c) -> R where R s the relation. and so such case is there.

it is not antisymmetric because antisymmetric is (a,b) -> R and (b, a) -> R then a = b.