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PolyFX
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Homework Statement
[tex]
\forall (a,b), (c,d) \in (Z^2), (a,b)D(c,d) \leftrightarrow a\equiv c\mod\2\and\b\equiv d mod 3
[/tex]
*edit* Sorry the b = d mod 3 is all part of the same line.
(a) List four elements of the equivalence class [{5,3}]
(b) How many equivalence classes of D are there in total? List a representative element of each of them.
Homework Equations
The Attempt at a Solution
(5,3)D(c,d)
a = c mod 2 can also be written as 2 = a-c
b = d mod 3 can also be written as 3 = b-d
Would I need to somehow use the above two lines in this problem?
I'm very lost on this one and have no clue where to start.