Question

Х-1/х+1<х ----------------------------------

Answer 1

1-1/x<0

1<1/x

x>1

.....................

Answer 2

$x-\frac{1}{x}+1\ \textless \ x, \\ x \neq 0, \\ -\frac{1}{x}+1\ \textless \ 0, \\ \frac{x-1}{x}\ \textless \ 0, \\ (x-1)x\ \textless \ 0, \\ 0\ \textless \ x\ \textless \ 1.$