Suppose that a is a nonempty set and f is a function that


Question: Suppose that A is a nonempty set, and f is a function that has A as its domain. Let R be the relation on A consisting of all ordered pairs (x, y) such that ƒ (x) = ƒ (y).

a) Show that R is an equivalence relation on A.

b) What are the equivalence classes of R?

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Mathematics: Suppose that a is a nonempty set and f is a function that
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