Tentukan himpunan penyelesaian x-1/x-2 >x-3/x-4

[tex] \frac{x-1}{x-2}\ \textgreater \ \frac{x-3}{x-4} \\ \\ \frac{x-1}{x-2}- \frac{x-3}{x-4} \ \textgreater \ 0 \\ \\ \frac{(x-1)(x-4)}{(x-2)(x-4)}- \frac{(x-3)(x-2)}{(x-2)(x-4)} \ \textgreater \ 0 \\ \\ \frac{x^{2}-5x+4-x^{2}+5x-6}{(x-2)(x-4)} \ \textgreater \ 0\\ \\ \frac{-2}{(x-2)(x-4)} \ \textgreater \ 0 \\ \\ 2\ \textless \ x\ \textless \ 4[/tex]

Jadi HP = {x| 2 < x < 4}