SOLUTION: What is the solution set of | x - 5 | = -3?

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Question 938739: What is the solution set of | x - 5 | = -3?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
The absolute value of x, denoted "abs%28+x+%29" (and which is read as "the absolute value of x"), is the distance of x from zero. This is why absolute value is never+negative; absolute value only asks "how far?", not "in which direction?" This means not only that abs%28+3+%29+=+3, because 3 is three units to the right of zero, but also that abs%28+3+%29+=+3, because -3 is three units to the left of zero.
you have abs%28+x-5+%29+=+-3 and it means abs%28+x-5+%29 is equal to negative number -3 which cannot be; so, there is no solution for given equation