Do \(\left\{{}\begin{matrix}\left(x+1\right)^2\ge0\forall x\\\left(x+2\right)^4\ge0\forall x\\\left(x+3\right)^6\ge0\forall x\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}x+1=0\\x+2=0\\x+3=0\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}x=-1\\x=-2\\x=-3\end{matrix}\right.\)(vô lý)
Vậy \(S=\varnothing\)