The equation given: $ \mid x - 4 \mid = -3$.
My instinct (and example 2 in this article) tells me that there shouldn't be any solution as there would be no value of x which would result in a negative result.
However, the solution given here does give a value of $x$.
My question: which one (or two) of us is correct?
community wiki answer so the question can be closed
You are correct. The equation $|x - 4| = -3$ does not have a solution since the absolute value of a number cannot be negative.