Question

решить неравенство при всех значениях параметра m: m^3+m(2-x)+x-4≤0

Answer 1

$m^3+m(2-x)+x-4 leq 0 \ m^3+2m-mx+x-4 leq 0 \ (1-m)x+m^3+2m-4 leq 0 \ (1-m)x leq 4-2m-m^3$

$x leq (4-2m-m^3)/(1-m), m textless 1 \ x geq (4-2m-m^3)/(1-m), m textgreater 1 \ m=1 \ 1+2-x+x-4 leq 0 \ -1 textless 0,xin R$