\[- 7 < \frac{6a - 5}{4} < 3\]
\[- 28 < 6a - 5 < 12\]
\[- 23 < 6a < 17\]
\[- \frac{23}{6} < a < \frac{17}{6}\]
\[Ответ:\left( - \frac{23}{6};\frac{17}{6} \right).\]