Given the inequality:
$$0 x < 0$$
To solve this inequality, we must first solve the corresponding equation:
$$0 x = 0$$
Solve:
This equation has no roots,
this inequality is executed for any x value or has no solutions
check it
subtitute random point x, for example
x0 = 0
$$0 \cdot 0 < 0$$
0 < 0
so the inequality has no solutions