1. Solve the inequality $1 < \frac{x}{2} < 3$. 2. Multiply all parts of the inequality by 2 (positive number, so inequality signs remain the same): $$1 \times 2 < x < 3 \times 2$$ 3. Simplify: $$2 < x < 6$$ 4. This means $x$ is greater than 2 and less than 6. Final answer: $x \in (2,6)$