Giải thích các bước giải:
Ta có:
\(\begin{array}{l}
*)\\
\left| {x - 2} \right| > 3 \Leftrightarrow \left[ \begin{array}{l}
x - 2 > 3\\
x - 2 < - 3
\end{array} \right. \Leftrightarrow \left[ \begin{array}{l}
x > 5\\
x < - 1
\end{array} \right.\\
\Rightarrow A = \left\{ {x \in R|x \in \left( { - \infty ; - 1} \right) \cup \left( {5; + \infty } \right)} \right\}\\
*)\\
\left| {x + 2} \right| < 1 \Leftrightarrow - 1 < x + 2 < 1 \Leftrightarrow - 3 < x < - 1\\
\Rightarrow B = \left\{ {x \in R|x \in \left( { - 3; - 1} \right)} \right\}\\
\Rightarrow A \cup B = \left( { - \infty ; - 1} \right) \cup \left( {5; + \infty } \right)\\
A \cap B = \left( { - 3; - 1} \right)\\
A\backslash B = \left( { - \infty ; - 3} \right] \cup \left( {5; + \infty } \right)\\
B\backslash A = \emptyset
\end{array}\)
