Answer
The set of integers between -100 and 100 that are congruent to -1 modulo 25 are $\{-76, -51, =1, 24, 49, 74, 99\}$.
Work Step by Step
First, we will find all the integers between -100 and 0 that are congruent to -1 modulo 25. Then we will find all the integers 0 to 100 that satisfy the same condition.
-1+25(-1)=-26
-1+25(-2)=-51
-1+25(-3)=-76
-1+25(1)=24
-1+25(2)=49
-1+25(3)=74
-1+25(4)=99
