Question

Give an example of a relation which is

(i)Reflexive, but not symmetric and not transitive.​

Answer 1

Answer:

Give an example of a relation R on a set S that is reflexive and transitive but not symmetric. Justify your answers. Let S = {1,2,3} and let R = {(1,1), (2,2), (3,3), (1,2)}. Then R is reflexive since (s,s) is in R for every element s of S, but R is not symmetric since (1,2) is in R but (2,1) is not in R.