[Solution] Solve the compound inequality and write the solution set using interval notation.
Question: Solve the compound inequality and write the solution set using interval notation.
\[-3<\frac{3x-1}{5}<\frac{1}{2}\,\,\,\,\,and\,\,\,\,\,\frac{1}{3}<\frac{3-2x}{6}<\frac{9}{2}\]
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