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Consider the following set S = {(a,b)|a,b ∈ Z,b 6= 0} where Z denotes the integers....

Consider the following set S = {(a,b)|a,b ∈ Z,b 6= 0} where Z denotes the integers. Show that the relation (a,b)R(c,d) ↔ ad = bc on S is an equivalence relation. Give the equivalence class [(1,2)]. What can an equivalence class be associated with?

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