Hi,
Why can't I look at this absolute equation this way.
x|x| - x < 0
x [|x| - 1] <0
Therefore 1) x is <0 or 2) |x|-1 is <0
From 2):
|x|<1
x can be negative fraction or positive fraction.
However when I test a negative fraction back to the main equation, it does not work.
My question is why can we not solve an absolute equation this way?
If so, we have to approach absolute equations mainly using logic or testing cases since conventional algebra does not work in this case?![]()
Why can't I look at this absolute equation this way.
x|x| - x < 0
x [|x| - 1] <0
Therefore 1) x is <0 or 2) |x|-1 is <0
From 2):
|x|<1
x can be negative fraction or positive fraction.
However when I test a negative fraction back to the main equation, it does not work.
My question is why can we not solve an absolute equation this way?
If so, we have to approach absolute equations mainly using logic or testing cases since conventional algebra does not work in this case?