$\frac{x-5}{10}\le \frac{x-4}{5}-\frac{x-4}{2}\mid \cdot 10$  

$\frac{x-5}{{\sout{10}}_1}\cdot {\sout{10}}^1\le \frac{x-4}{{\sout{5}}_1}\cdot {\sout{10}}^2-\frac{x-4}{{\sout{2}}_1}\cdot {\sout{10}}^5$  

$x-5\le \left(x-4\right)\cdot 2-\left(x-4\right)\cdot 5$  

$x-5\le 2x-8-\left(5x-20\right)$  

$x-5\le 2x-8-5x+20$  

$x-5\le -3x+12\mid +3x$  

$4x-5\le 12\mid +5$  

$4x\le 17\mid :4$  

$x\le \frac{17}{4}$  

$x\le 4\frac{1}{4}$  

Zatem: 

$\mathbf{x}\in (-\infty ;4\frac{1}{4}⟩$