Question: (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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