Question

(x + 3)(x-10)<(x - 5)(x-2)
Докажите неравенство

Answer 1

(x+3)(x-10)<(x-5)(x-2)
x^2-10x+3x-30<x^2-2x-5x+10
x^2-7x-30<x^2-7x+10
x^2-7x-x^2+7x<30+10
0<40 - данное неравенство верно.