Select all the integers that are congruent to $2$ modulo $7.$
1, 2, 3, 4, 5, 6, 7
Let's make some observations.
2 modulo 7 means that it leaves a remainder of 2 when divided by 7.
Well, let's look at the numbers
\(1, 2, 3, 4, 5, 6, 7 \)
Note that other than 2, other numbers leave a remainder of NOT 2.
So our answer is just \(2\)
Thanks! :)