\frac{2}{1-x} \\\\1-\frac{6}{x}>\frac{2}{1-x}\\\\\frac{x-6}{x}-\frac{2}{1-x}>0\\\\\frac{x-x^{2}-6+6x-2x }{x(1-x)}>0\\\\\frac{-x^{2} +5x-6}{x(1-x)} >0\\\\\frac{x^{2}-5x+6 }{x(x-1)}>0\\\\x(x-2)(x-3)(x-1)>0" alt="1-\frac{6}{x}>\frac{2}{1-x} \\\\1-\frac{6}{x}>\frac{2}{1-x}\\\\\frac{x-6}{x}-\frac{2}{1-x}>0\\\\\frac{x-x^{2}-6+6x-2x }{x(1-x)}>0\\\\\frac{-x^{2} +5x-6}{x(1-x)} >0\\\\\frac{x^{2}-5x+6 }{x(x-1)}>0\\\\x(x-2)(x-3)(x-1)>0" align="absmiddle" class="latex-formula">
+ - + - +
_______₀_________₀__________₀_________₀_______
0 1 2 3
x ∈ (- ∞ ; 0) ∪ (1 ; 2) ∪ (3 ; + ∞)