Để cả ba số là số nguyên thì
\(\left\{{}\begin{matrix}x+1\in\left\{1;-1;3;-3\right\}\\x-1+3⋮x-1\\2x+4-7⋮x+2\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x\in\left\{0;-2;2;-4\right\}\\x-1\in\left\{1;-1;3;-3\right\}\\x+2\in\left\{1;-1;7;-7\right\}\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x\in\left\{0;-2;2;-4\right\}\\x\in\left\{2;0;4;-2\right\}\\x\in\left\{-1;-3;5;-9\right\}\end{matrix}\right.\)
\(\Leftrightarrow x\in\varnothing\)
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