In: Advanced Math
For m, n in Z, define m ~ n if m (mod 7) = n (mod 7).
a. Show that -341 ~ 3194; that is to say 341 is related to 3194 under (mod 7) operation.
b. How many equivalence classes of Z are there under the relation ~?
c. Pick any class of part (b) and list its first 4 elements.
d. What is the pairwise intersection of the classes of part (b)?
e. What is the union of the classes of part (b)?