Answer to Question #209912 in Discrete Mathematics for Sach

Question

(I) A relation R on a set S is called irreflexive, if no element in S is related to itself, that is if for every a

in S, (a, a) is not in R. Which of the relations in Q. No. 5 is irreflexive?

Answer 1

A relation R on a set S is called irreflexive, if no element in S is related to itself, that is if for every a

in S, (a, a) is not in R

Reflexive relation are those which follows- if every element is related to itself, that is, if xRx

xRx for every x∈A

x∈A.