Define set from given function and a subset. Abstract math

[beatka6]

Homework Statement

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.

Homework Equations

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.

 

[sunjin09]

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.

 

[jaostar13]

It says that it should have no mention of f in the defined set.