Show that the relation a b a b mod 7 is an equivalence


Question: a) Show that congruence modulo m is an equivalence relation whenever m is a positive integer.

b) Show that the relation {(a, b) | a ≡ ±b (mod 7)} is an equivalence relation on the set of integers.

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Mathematics: Show that the relation a b a b mod 7 is an equivalence
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