(X-2)/(x-4) > (x+2)/x

By Admin ReiPosted on October 29, 2022

(X-2)/(x-4) > (x+2)/x

$frac{(x - 2)}{(x - 4)} > frac{(x + 2)}{x} \ x(x - 2) > (x - 4)(x + 2) \ x {}^{2} - 2x > x {}^{2} - 2x - 8 \ x {}^{2} - x {}^{2} - 2x + 2x + 8 > 0 \ 8 > 0$