Question

(If there is no solution, enter NO SOLUTION.)
|x − 1| = −4
x = (smaller value)
x = (larger value)

Answer 1

NO SOLUTION

Answer 2

you cannot have an absolute value equal a negative

Answer 3

so whenever you see this
|something|=negative number
then its not true or no solution

Answer 4

but if you have something like this
for x<0, |x|=-x
-x is actually positive since x is negative

Answer 5

but we know in your problem -4 is most certianly less than 0