Question Number 129430 by MathSh last updated on 15/Jan/21
$$\mathrm{0}<{x}<\mathrm{1}\:\:\:{if}, \\ $$$${Compare}\:{it}: \\ $$$$\frac{\mathrm{1}}{{x}−\mathrm{1}}\:;\:\frac{{x}}{{x}−\mathrm{1}}\:;\:\frac{\mathrm{1}}{\mathrm{1}−{x}}\:;\:\frac{{x}}{\mathrm{1}−{x}}\:;\:\frac{{x}}{\mathrm{2}{x}} \\ $$