Question

Решите неравенство
x(x+2)/1-2x > 0

Answer 1

$frac{x(x+2)}{1-2x} textgreater 0\\ frac{x(x+2)}{-2(x-frac{1}{2})} textgreater 0\\ frac{x(x+2)}{x-frac{1}{2}} textgreater 0\\---(-2)+++(0)---(frac{1}{2})+++\\xin (-2,0)cup ( frac{1}{2},+infty )$