Himpunan penyelesaian pertidaksamaan x^2-x-12/x-1 <2 adalah

[tex] \frac{x^2 - x - 12}{x - 1} \ \textless \ 2\\ \frac{x^2 - x - 12}{x - 1} - 2 \ \textless \ 0\\ \frac{x^2 - x - 12}{x - 1} - ( \frac{2x - 2}{x - 1}) \ \textless \ 0 \\ \frac{x^2 - 3x - 10}{x - 1} \ \textless \ 0\\\\\text{Buat pembuat nol}\\x^2 - 3x - 10 = 0\\(x - 5)(x + 2) = 0\\x = -2 , x = 5\\\\ x - 1 \neq 0\\x \neq 1\\\\\text{maka...}\\Hp : \left \{ {{x| x < -2 atau 1 \ < x < 5]} \right. [/tex]

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