Course: Foundations of Higher Math
A relation is defined on by x R y if is even. Prove that is an equivalence relation. Determine the distinct equivalence classes.
which is even, so x R x.
Assume that x R y ,i.e. , .
which is even, so y R x.
Is this method fine?
Also, how would I notate the equivalence classes? I believe that there will be 2 distinct classes because 3x and 7y must have same parity for the difference to be even.