Đáp án:
\(\begin{array}{l}
1)\\
A\cup B = (-\infty;5)\\
A\cap B = (-2;1]\\
A\backslash B = (-\infty;-2]\\
C_{\Bbb R}A = (1;+\infty)\\
2)\\
\left[\begin{array}{l}m < -3\\m > 2\end{array}\right.
\end{array}\)
Giải thích các bước giải:
\(\begin{array}{l}
1)\quad A = (-\infty;1];\qquad B=(-2;5)\\
A\cup B = (-\infty;5)\\
A\cap B = (-2;1]\\
A\backslash B = (-\infty;-2]\\
C_{\Bbb R}A = \Bbb R\backslash A = (1;+\infty)\\
2)\quad A = [m;m+2];\qquad B = [-1;2]\\
A\cap B = \varnothing\Leftrightarrow \left[\begin{array}{l}m+2 < -1\\m > 2\end{array}\right. \Leftrightarrow \left[\begin{array}{l}m < -3\\m > 2\end{array}\right.
\end{array}\)