bilangan real x yang memenuhi [tex] \frac{ {x}^{2} - x - 12}{x - 1} < 2[/tex]

(x² - x + 12)/(x-1) - 2 < 0
(x² - x + 12)/(x-1) - 2(x-1)/(x-1) < 0
(x² - x + 12 - 2x - 2) / (x - 1) < 0
(x² - 3x + 10) / (x - 1) < 0
(x - 5)(x + 2) / (x - 1) < 0
- - - - - + + + - - - - + + +
-------•-------•-------•--------
``````` -2 `````` 1 ``````` 5
syarat x - 1 ≠ 0
x ≠ 1
bilangan real x yg memenuhi
x < -2 atau 1 < x < 5