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

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The equation |x-3| = -2 has no valid solutions because the absolute value cannot equal a negative number. The user attempted to manipulate the equation by rewriting it as -|x-3| = 2, which is incorrect. The conclusion drawn is that the problem itself contains an error, as absolute values are always non-negative. Therefore, there are no possible values for x in this equation.

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

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