Question

6. Prove that the relation "friendship is not an equivalence relation on the set of all people in
Chennai.
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Answer 1

Step-by-step explanation:

(a) S = aRa (i.e. ) a person can be a friend to himself or herself.

So it is reflextive.

(b) aRb ⇒ bRa so it is symmetric

(c) aRb, bRc does not ⇒ aRc so it is not transitive

⇒ It is not an equivalence relation

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