(adsbygoogle = window.adsbygoogle || []).push({}); 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) ???

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# Homework Help: Modulus and Congruency Problem

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