Possible Value(s) for X in |x-3| = -2?

[Golden_Ace]

The equation |x-3|=-2 is given. Find the possible value(s) of X.



I don't understand how it could equal a negative number but here is my weak attempt.


|x-3|= -2
-|x-3|= 2
-x+3=2
-x=-1
x=1

I substituted x=1 into the equation and all I got was 2 as the answer.
Any help would be greatly appreciated.

P.S. I am doing Gr. 11 Maths

 

[ArcanaNoir]

The absolute value can never be negative. there is an error with the problem.