Question

(X+2)(x-5)>(x-1)(x-10)

Answer 1

(x+2)(x-5)>(x-1)(x-10)

Restar de ambos lados (x-1)(x-10)

(x+2)(x-5)-(x-1)(x-10)>(x-1)(x-10) -(x-1)(x-10)
(x+2)(x-5)-(x-1)(x-10)>0
x^2-5x+2x-10-(x^2-10x-x+10) >0
x^2-3x-10-x^2+11x-10>0
8x-20>0
8x>20
x>20/8
x>5/2= 2.5
Solucion
x>2.5
Intervalo
(5/2,∞)       -∞---2------1-----0---1----2--!→→---3-----4----∞
                                                            2.5

Answer 2

(x+2)(x-5)  > (x-1)(x-10)
x² - 3x -10 > x ²- 11x +10
x²- x²+11x - 3x>10+10
8x >20
 x> 20/8
x > 5/2