1. The problem statement, all variables and given/known data a) List all integers, A, that is in the range where A is greater than -51 and less than 51 such that it also satisfies: A is congruent to 7 (mod 17) b) has a set of representatives modulo 17, made up entirely of multiples of 3 2. Relevant equations Only need to know what modulo is, which I believe is: when a is congruent to b (mod n) then (a-b) is a multiple integer of n also, mod is for finding the remainder of a division 3. The attempt at a solution (x-7)=17n ---> x = 17n + 7 a) going by what I think is true (above) then I think possible answers for A are: -44,-27,-10,7,24,41 < never done congruencies before > Is that right? b) This is where I got really stumped because it seemed too easy: 0,3,6,9,12,15,18,21,24,27,30, 33,36,39,42,45,48 (similarly for the negatives) ???