Question

m^3+m^2+5m+5>=0 если m>=-1

Answer 1

$m^3+m^2+5m+5 geq 0 \ m^2(m+1)+5(m+1) geq 0 \ (m+1)(m^2+5) geq 0 \ \ m^2+5 textgreater 0$
при любом m

$m+1 geq 0 \ m geq -1$

Ответ: $m geq -1$