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Let R be the relation on ℤ+×ℤ+ defined by (a,b)R(c,d) if and only if a−2d=c−2b. (a) prove that R is an equivalence relation (b) list all elements of the equivalence class [(3,3)] (c) find an equivalence class that has
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Let A be the set of all ordered pairs of positive integers and R be the relation defined on A where (a,b)R(c,d) means that ba=dc. a)Show that R is an equivalence relation. b)Find [(3, 5)] and [(7, 1)].
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