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Question

Let $A equals open curly brackets p comma q comma r close curly brackets.$ Which of the following is not an equivalence relation on $A ?$

$R_{1} = {(p, q), (q, r), (p, r), (p, p)}$
$R_{2} = {(r, q), (r, p), (r, r), (q, q)}$
$R_{3} = {(p, p), (q, q), (r, r) . (p, q)}$
None of these

The correct answer is: None of these

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