Shiv2016
It would be great if for once someone clear this doubt. I am not able to move to something new in absolute values because of this same doubt. Every time I try to clear it, it becomes worse.
1) If x>=0
then |x|= x
2) If x<0
then |x|= -(-x)= x
(in this x is negative now or positive?)Then in this question, how is II correct?
x<0
x=-|x|
Shiv2016 , in case you are still wondering . . .
On a different question, about a week after you posted this (sorry, I didn't see your post until just now), someone asked exactly what I think you are asking.
I answered, because, as I wrote, that rule can feel
very counterintuitive to me.
I wrote down a few ways to think about what you asked and I highlighted, above.
Bunuel then added another important way to think about it. So . . . three posts that address what I think you are asking.
Please, take a look at
Bunuel 's post starting
HEREThen go to my post (same thread) here:
WAYS TO THINK ABOUT x = -|x|Finally, right below mine,
Bunuel here:
FINISHES THE DISCUSSIONAll of them come from
this questionI hope they help.