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Question
If A = {a, b, c}, then the relation R = {(b, c)} on A is _______________ .
Options
reflexive only
symmetric only
transitive only
reflexive and transitive only
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Solution
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 A because there is only one pair.
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