Surely it is
Q1)Here is exercise 16:Code:What is the equivalence class of (3, 5) with respect to the equivalence relation in Exercise 16?I've already shown that R is an equivalence relation. Here is my attempt at Q1:Code:Let R be the relation on the set of ordered pairs of positive integers such that ((a, b), (c, d)) ∈ R if and only if ad = bc. Show that R is an equivalence relation.
Correct?Code:(3, 5)R(a, b) if 5b = 3a, by the definition of R, so [(3, 5)] = {(3a, 5a)|a ∈ Z^{+}}.