If $$\mid x - 2\mid + \mid x - 3\mid < 4$$, then the range of $$x$$ is

A

$$\left(\frac{1}{2}, 2\right)$$

B

$$\left\{2, 3 \right\}$$

C

$$\left(3, \frac{9}{2}\right)$$

D

$$\left(\frac{1}{2}, \frac{9}{2}\right)$$