For m, n in Z, define m ~ n if m (mod 7) = n (mod...

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)?

Solutions

Expert Solution

Colby Messinger answered 1 year ago

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