Question: Consider the set Q = {(p, q) | p.q E Z and q 0}. Define a relation on Q as follows: (p, q)~ (r,

Consider the set Q = {(p, q) | p.q E Z and q 0}. Define a relation on Q as follows: (p, q)~ (r, s) if and only if ps = qr (i.e. =). Prove that is an equivalence relation on Q. 2 9

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