Show that congruence modulo n is an equivalence relation

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Reference no: EM131166151

The relation of "congruence modulo n" is the relation ≡ defined by x ≡ y mod n if and only if x mod n = y mod n.

(a) Show that congruence modulo n is an equivalence relation by showing that it defines a partition of the integers into equivalence classes.

(b) Show that congruence modulo n is an equivalence relation by showing that it is reflexive, symmetric, and transitive.

Reference no: EM131166151

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