Bất phương trình \(\left( {...

A

- Hướng dẫn giải

$\begin{array}{l} bpt \Leftrightarrow \left\{ \begin{array}{l} \left| {x - 1} \right| - 3 < 0\\ \left| {x + 2} \right| - 5 > 0 \end{array} \right. \vee \left\{ \begin{array}{l} \left| {x - 1} \right| - 3 > 0\\ \left| {x + 2} \right| - 5 < 0 \end{array} \right.\\  \Leftrightarrow \left\{ \begin{array}{l}  - 2 < x < 4\\ \left[ \begin{array}{l} x > 3\\ x <  - 7 \end{array} \right. \end{array} \right. \vee \left\{ \begin{array}{l} \left[ \begin{array}{l} x > 4\\ x <  - 2 \end{array} \right.\\  - 7 < x < 3 \end{array} \right.\\  \Leftrightarrow \left[ \begin{array}{l} 3 < x < 4\\  - 7 < x <  - 2 \end{array} \right. \end{array}$