R 11 23 41 is it reflexive transitive symmetric antisymmetr

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

Solution

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

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

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

it is antisymmetric because antisymmetric is (a,b) -> R and (b, a) -> R then a = b.