Paragraph: If a ≤ x ≤ b then 1 a ≥ 1 x ≥ 1 ~b provided a \ and ~b...

Paragraph: If $\mathrm{a} \leq \mathrm{x} \leq \mathrm{b}$ then $\frac{1}{\mathrm{a}} \geq \frac{1}{\mathrm{x}} \geq \frac{1}{\mathrm{~b}}$ provided $\mathrm{a} \ \text{ and } \mathrm{~b}$ are of same sign but if a and b are of opposite sign then \frac{1}{\mathrm{x}} \in \left(-\infty,\frac{1}{\mathrm{a}}\right] \cup\left[\frac{1}{\mathrm{~b}},-\infty\right). On the basis of above information, answer the following :Question: If $-3 \lt$\frac{2 x-7}{x} \lt -$1$ then $x$ belongs to -