Let A = {p, q, r}. Which of the following is | vedclass

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(D) An equivalence relation must be reflexive,symmetric,and transitive.For a relation on $A = \{p, q, r\}$ to be reflexive,it must contain $(p, p), (q

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None of these

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(D) An equivalence relation must be reflexive,symmetric,and transitive.For a relation on $A = \{p, q, r\}$ to be reflexive,it must contain $(p, p), (q, q),$ and $(r, r)$.$R_1$ does not contain $(q, q)$ and $(r, r)$,so it is not reflexive.$R_2$ does not contain $(p, p)$,so it is not reflexive.$R_3$ contains $(p, p), (q, q),$ and $(r, r)$,so it is reflexive. However,it is not symmetric because $(p, q) \in R_3$ but $(q, p) 
otin R_3$.Therefore,none of the given relations are equivalence relations.

Let $A = \{p, q, r\}$. Which of the following is an equivalence relation on $A$?

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