\(-\frac{5}{2}< \frac{3}{x}< -\frac{2}{3}\)
\(\Rightarrow-\frac{15}{6}< \frac{3}{x}< -\frac{4}{6}\)
\(\frac{3}{x}\in\left(-\frac{5}{6};-1;-\frac{7}{6};-\frac{4}{3};-\frac{3}{2};-\frac{5}{3};-\frac{11}{6};-2;-\frac{13}{6};-\frac{7}{3};\right)\)
\(\Rightarrow x\in\left(-2;-3\right)\)