What is the solution to this inequality: $| 2x-3| > - | x+3|?$ By using graphical method, I am getting all real numbers..
Where am I wrong in graphical method? How to solve this using calculation?


Rearrange:
$$|2x-3|>-|x+3| \iff|2x-3|+|x+3|>0 \iff \\
|2x-3|\ne 0 \ \text{and} \ |x+3|\ne 0 \iff x\ne \frac32 \ \text{and} \ x\ne -3 \iff x\in(-\infty,+\infty).$$
