\[\frac{2 + x}{3} + \frac{4 - 5x}{2} < \frac{9 - x}{4}\ \ | \cdot 12\]
\[4(2 + x) + 6(4 - 5x) < 3(9 - x)\]
\[8 + 4x + 24 - 30x < 27 - 3x\]
\[- 26x + 3x < 27 - 32\]
\[- 23x < - 5\]
\[x > \frac{5}{23}.\]
\[Ответ:x > \frac{5}{23}.\]