\[\frac{2x - 3}{x + 1} \geq 1^{\backslash x + 1}\]
\[\frac{2x - 3 - x - 1}{x + 1} \geq 0;\ \ \ x \neq - 1\]
\[\frac{x - 4}{x + 1} \geq 0\]
\[x < - 1;\ \ \ x \geq 4.\]
\[Ответ:4.\]