Đáp án:
\( - 2 \le m \le 0\)
Giải thích các bước giải:
\[\begin{array}{l}
M = \left\{ {x \in R|\,\,\left( {x + 3} \right)\left( {x - 1} \right) \ge 0} \right\}\\
N = \left( {m - 1;\,\,m + 1} \right)\\
Giai:\\
\left( {x + 3} \right)\left( {x - 1} \right) \ge 0 \Leftrightarrow \left[ \begin{array}{l}
x \ge 1\\
x \le - 3
\end{array} \right.\\
\Rightarrow M = \left( { - \infty ;\,\, - 3} \right]\,\, \cup \left[ {1; + \infty } \right)\\
N\left( {m - 1;\,\,m + 1} \right)\\
\Rightarrow M \cap N = \emptyset \\
\Leftrightarrow \left\{ \begin{array}{l}
m - 1 \ge - 3\\
m + 1 \le 1
\end{array} \right. \Leftrightarrow \left\{ \begin{array}{l}
m \ge - 2\\
m \le 0
\end{array} \right. \Leftrightarrow - 2 \le m \le 0.
\end{array}\]
