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mathematical description or layman description?

|x| --> x if x>0, or -x if x<0

wha...? :s i'm lost

how do u determine it?

Do you have an example?

find the absolute value of x

His mathematical description was a great answer for your question.

it's the definition. the proof is the first line i gave you. the mathematical description.

i don't think it's enough to settle with |x|=x, |-z|=z
...

yes. it is not.

it doesn't make sense

why?

well i'm still not satisfied with the given answer.

if x<0 then x is negative...so -x is positive
thus |x|=-x

only if \(y+1\ge0\)

if \(y+1<0\) then \(|y+1|=-(y+1)\)

what's with the magnitude mentioned in the definition by google?

magnitude is distance... right?

From a linear geometric perspective, yes. If we are talking about pressure, for example, not really.

the absolute value of a number is its distanceto the origin

okay now this makes more sense than the earlier explanation/definition... thanks :)