Solution to Let A = {1,2,3,4} and let R = {(1,1), (1,2),(2,1),(2,2),(3,4),(4,3), (3,3), (4,4)} be an equivalence … - Sikademy
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Archangel Macsika

Let A = {1,2,3,4} and let R = {(1,1), (1,2),(2,1),(2,2),(3,4),(4,3), (3,3), (4,4)} be an equivalence relation on R. Determine A/R.

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It is reflexive because aRa for all an in A

It is symmetric because for all aRb ,bRa is also true

It is transitive

Equivalence classes are:

[1]={1,2}

[3]={3,4}

So the quotient set is

A/~={[1],[3]}

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Question ID: mtid-5-stid-8-sqid-1539-qpid-1277