Re: Is |x| + |x-1| = 1?

Is |x| + |x-1| = 1?

For #1 (x≥0) I see two possible cases:

x=1/2
x+ -(x-1)=1
x+ -x+1=1
1=1

OR

x=2
x+x-1=1
2x=2
x=1

Wouldn't that imply that for both cases of x (where we have positive and negative values inside the | | signs) the equation is true?

Thanks!