Question

ДАМ 35 БАЛЛОВ!
310.Решите линейное неравенство
b)$\frac{x-3}{(x-4)(x+6)}\ \textgreater \ 0$

Answer 1

$\dfrac{x-3}{(x-4)(x+6)}>0\\\\\\x-3=0\ \ ,\ \ x=3\\\\x-4=0\ \ ,\ \ x=4\\\\x+6=0\ \ ,\ \ x=-6\\\\znaki\ \ \dfrac{x-3}{(x-4)(x+6)}:\ \ \ ---(-6)+++(3)---(4)+++\\\\\\x\in (-6\, ;\, 3\, )\cup (4;+\infty )$