4x(pangkat2)-3x+12<3x(pangkat2)+4x+2

x^2 - 7x + 10
(x - 2 ) ( x - 5 )
x= 2  ;  x= 5

4x^2 - 3x + 12 < 3x^2 + 4x + 2
4x^2 - 3x^2 - 3x - 4x + 12 - 2 < 0
x^2 - 7x + 10 < 0
(x-5)(x-2) < 0
¤x-5 < 0
x < 5
¤ x-2 < 0
x < 2

~ x^2 - 7x + 10 < 0
(3)^2 - 7(3) + 10 < 0
9 - 21 + 10 < 0
~ x^2 - 7x + 10 < 0
(1)^2 - 7 (1) + 10 < 0
1 - 7 + 10 < 0
4 < 0
~ x^2 - 7x + 10 < 0
(6)^2 - 7 (6) + 10 < 0
36 - 42 + 10 < 0
4 < 0

hp = {x|2<x<5}