Define set from given function and a subset. Abstract math

by beatka6
Tags: abstract, define, function, math, subset
 P: 21 1. The problem statement, all variables and given/known data Let f: Z to ZxZ be the function defined f(t)=(3t, 3t+1) . Let B denote the subset of ZxZ defined by B={ (5m, 5m+1) : m is an element of Z}. Determine f^-1(B). This means that you should define set S with a property of S=f^-1(B). In addition, your definition of S should make no mention of the function f. 2. Relevant equations 3. The attempt at a solution From what I understand first we have to find f(B), but B is a subset of ZxZ not Z therefore I don't know what to do with this. Please help.
 P: 312 f^{-1}(B) is defined as {t$\in$Z | f(t)$\in$B}, i.e., the collection of t's such that f(t) is in B.
 P: 1 It says that it should have no mention of f in the defined set.

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