If A = {a, b, c}, then the relation R = {(b, c)} on A is
Question:

If A = {abc}, then the relation R = {(bc)} on A is

(a) reflexive only
(b) symmetric only
(c) transitive only
(d) reflexive and transitive only

Solution:

(c) transitive only

The relation R = {(b,c)} is neither reflexive nor symmetric because every element of A is not related to itself. Also, the ordered pair of R obtained by interchanging its elements is not contained in R.

We observe that R is transitive on because there is only one pair.

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