Show that the relation R in the set A = {a, b, c} given by R = {(b, c), (c, b)} is symmetric but neither reflexive nor transitive.

Asked by Topperlearning User | 25th Oct, 2016, 07:53: AM

Expert Answer:

(i) Since, (a, a), (b, b), (c, c), therefore R is not reflexive.
(ii) Since, (b, c), (c, b), therefore R is symmetric.
(iii) There are only two elements b and c are in relation R and there is no third element a in R, so R is not transitive.

Answered by  | 25th Oct, 2016, 09:53: AM