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Math · Advanced Math
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8. (a) Let R be the equivalence relation on R given by all pairs of the form (x, -r) and (x, r) in R x R. Let f : R R be the polynomial 2.2 +2.4. Recall that for a є R, with respect to R. Show that if [a] -[b, then f(a)-f(b). al denotes the equivalence class of a (b) Let a, a. n be integers, n 〉 l. Show that if a mod n = a, and b mod n b then ab mod n ab mod n

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