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Let p and q be any two distinct prime numbers and define the relation a R...

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Advance Math

Let p and q be any two distinct prime numbers and define therelation a R b on integers a,b by: a R b iff b-a is divisible byboth p and q. For this relation R: Prove that R is an equivalencerelation.

you may use the following lemma: If p is prime and p|mn, thenp|m or p|n. Indicate in your proof the step(s) for which you invokethis lemma.

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