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 n1,suppose that a ≡n b and c ≡n d. Prove that a+c ≡n b+d and
ac ≡n bd.

Question

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.

anonymous · Answer

i got the first one, but im confused about the rest