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A relation on a set A={1,2} defined by R={(1,2)} is transitive or not?

A relation on a set A={1,2} defined by R={(1,2)} is transitive or not?

Grade:12

1 Answers

Nishant Vora IIT Patna
askIITians Faculty 2467 Points
8 years ago
Hello student, Please find the solution

In the case R={(1,2)} there is only one pair of elements. There is no possible counterexample to transitivity, and so it holds vacuously.

So its transitive...
Thanks,
Nishant Vora

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