Question

Решите неравенства.
Номера 577 (1,2) и 578 (1).

Answer 1

577 (1)
$frac{x+2}{3-x} textgreater 0\\ frac{x+2}{-(x-3)} textgreater 0\\ -frac{x+2}{x-3} textgreater 0\\ frac{x-(-2)}{x-3} textless 0\\ ++++++++(-2)-----------(3)++++++ textgreater x\\ xin(-2; 3)$

577 (2)
$frac{x-10}{2-x} textless 0\\ -frac{x-10}{x-2} textless 0\\ frac{x-10}{x-2} textgreater 0\\ +++++++++(2)-------(10)+++++++++ textgreater x\\ xin(-infty; 2)cup(10; +infty)$

578 (1)
$frac{x^2-6x}{x^2-6x+9} leq 0\\ frac{x(x-6)}{(x-3)^2} leq 0\\ frac{(x-0)*(x-6)}{(x-3)^2} leq 0\\ ++++++[0]------(3)------[6]++++++ textgreater x\\ xin[0; 3)cup(3; 6]$