Himpunan penyelesaian pertidaksamaan x'2-x-12/x-1 < 2?

Pertidaksamaan

(x² - x - 12)/(x - 1) < 2
(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

Pembuat nol :
x - 5 = 0 ---> x = 5
x + 2 = 0 ---> x = -2
x - 1 = 0 ---> x = 1

- -....(-2)...+++...(1)... - - ...(5)...+++

ambil yg (-) ---> < 0

HP = {x| x < -2 atau 1 < x < 5 , x e R}