![image](https://tex.z-dn.net/?f=+%5Cfrac%7Bx%7D%7Bx-1%7D+%3E1+%2F%2A%28x-1%29%5C%5C+x%28x-1%29%3Ex-1+%5C%5C++x%5E%7B2%7D+-x%3Ex-1+%5C%5C++x%5E%7B2%7D+-x-x%2B1%3E0+%5C%5C++x%5E%7B2%7D+-2x%2B1%3E0+%5C%5C+x%5E%7B2%7D+-2x%2B1%3D0+%5C%5C+D%3D4-4%3D0+%5C%5C++x_%7B0%7D+%3D+%5Cfrac%7B2%7D%7B2%7D+%3D1+%5C%5C+x-1+%5Cneq+0+%5C%5C+x+%5Cneq+0)
1 /*(x-1)\\ x(x-1)>x-1 \\ x^{2} -x>x-1 \\ x^{2} -x-x+1>0 \\ x^{2} -2x+1>0 \\ x^{2} -2x+1=0 \\ D=4-4=0 \\ x_{0} = \frac{2}{2} =1 \\ x-1 \neq 0 \\ x \neq 0" alt=" \frac{x}{x-1} >1 /*(x-1)\\ x(x-1)>x-1 \\ x^{2} -x>x-1 \\ x^{2} -x-x+1>0 \\ x^{2} -2x+1>0 \\ x^{2} -2x+1=0 \\ D=4-4=0 \\ x_{0} = \frac{2}{2} =1 \\ x-1 \neq 0 \\ x \neq 0" align="absmiddle" class="latex-formula">
Ответ: нет решений