23.
\(\left|2x-1\right|>\left|x-2\right|\Leftrightarrow\left(2x-1\right)^2>\left(x-2\right)^2\)
\(\Leftrightarrow4x^2-4x+1>x^2-4x+4\)
\(\Leftrightarrow x^2>1\Rightarrow\left[{}\begin{matrix}x>1\\x< -1\end{matrix}\right.\)
24.
Do \(x^2+2x+1>0;\forall x\ne-1\) nên với \(x\ne-1\) BPT trở thành:
\(x^2-4x+3\le0\Rightarrow1\le x\le3\)