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(a) Suppose A is a nonempty set, and f is a function with domain A. Let R be the relation on A defined by (a,
(a) Suppose A is a nonempty set, and f is a function with domain A. Let R be the relation on A defined by (a, b) R if f(a) = f(b).
(i) Show that R is an equivalence relation on A,
(ii) What are the equivalence classes of R?
(b) Give a description of congruence classes [n]9 modulo 9.
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