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Question
If A = {1, 2, 3}, then a relation R = {(2, 3)} on A is _____________ .
Options
symmetric and transitive only
symmetric only
transitive only
none of these
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Solution
transitive only
The relation R is not reflexive because every element of A is not related to itself. Also, R is not symmetric since on interchanging the elements, the ordered pair in R is not contained in it.
R is transitive by default because there is only one element in it.
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