Đáp án:
4) \(x < - \dfrac{1}{5}\)
Giải thích các bước giải:
\(\begin{array}{l}
1)\left[ \begin{array}{l}
\left\{ \begin{array}{l}
x - 5 > 0\\
y - 1 < 0
\end{array} \right.\\
\left\{ \begin{array}{l}
x - 5 < 0\\
y - 1 > 0
\end{array} \right.
\end{array} \right. \to \left[ \begin{array}{l}
\left\{ \begin{array}{l}
x > 5\\
y < 1
\end{array} \right.\\
\left\{ \begin{array}{l}
x < 5\\
y > 1
\end{array} \right.
\end{array} \right.\\
2)DK:x \ne 5\\
2x - 3 - \dfrac{1}{{x - 5}} < x - 4 - \dfrac{1}{{x - 5}}\\
\to 2x - 3 < x - 4\\
\to x < - 1\\
3)4x + 8 < 1 - x\\
\to 5x < - 7\\
\to x < - \dfrac{7}{5}\\
4)x + 3 < 2 - 4x\\
\to 5x < - 1\\
\to x < - \dfrac{1}{5}
\end{array}\)
