\frac{2}{x}
\\\
\frac{x(x-5)-2(3x-9)}{x(3x-9)}>0
\\\
\frac{x^2-11x+18}{x(3x-9)}>0
\\\
\frac{(x-2)(x-9)}{x(x-3)}>0
\\\
x\in(-\infty; 0)\cup(2; \ 3)\cup(9; \ +\infty)" alt=" \frac{x-5}{3x-9} > \frac{2}{x}
\\\
\frac{x(x-5)-2(3x-9)}{x(3x-9)}>0
\\\
\frac{x^2-11x+18}{x(3x-9)}>0
\\\
\frac{(x-2)(x-9)}{x(x-3)}>0
\\\
x\in(-\infty; 0)\cup(2; \ 3)\cup(9; \ +\infty)" align="absmiddle" class="latex-formula">
![(x^2-5x+6)(x-3) \leq 0
\\\
(x-2)(x-3)^3 \leq 0
\\\
x=3
\\\
x-2 \leq 0
\\\
x \leq 2
\\\
x\in(-\infty; 2]\cup(3)](https://tex.z-dn.net/?f=%28x%5E2-5x%2B6%29%28x-3%29+%5Cleq+0%0A%5C%5C%5C%0A%28x-2%29%28x-3%29%5E3+%5Cleq+0%0A%5C%5C%5C%0Ax%3D3%0A%5C%5C%5C%0Ax-2+%5Cleq+0%0A%5C%5C%5C%0Ax+%5Cleq+2%0A%5C%5C%5C%0Ax%5Cin%28-%5Cinfty%3B+2%5D%5Ccup%283%29 "(x^2-5x+6)(x-3) \leq 0
\\\
(x-2)(x-3)^3 \leq 0
\\\
x=3
\\\
x-2 \leq 0
\\\
x \leq 2
\\\
x\in(-\infty; 2]\cup(3)")