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math_proof
 3 years ago
proof
(1) Show that if n > 0 is a positive integer then the relation ≡n on integers defined by a ≡n b if n(a − b) is an equivalence relation.
(2) When n = 2, what are the equivalence classes? Can you see the connection with question 1?
(3) What are the equivalence classes when n = 3?
(4) Foragiven n>1,suppose that a ≡n b and c ≡n d. Prove that a+c ≡n b+d and
ac ≡n bd.
math_proof
 3 years ago
proof (1) Show that if n > 0 is a positive integer then the relation ≡n on integers defined by a ≡n b if n(a − b) is an equivalence relation. (2) When n = 2, what are the equivalence classes? Can you see the connection with question 1? (3) What are the equivalence classes when n = 3? (4) Foragiven n>1,suppose that a ≡n b and c ≡n d. Prove that a+c ≡n b+d and ac ≡n bd.

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math_proof
 3 years ago
Best ResponseYou've already chosen the best response.0i got the first one, but im confused about the rest
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