Solve 2/x<3

$\frac{2}{x}<3$

or $\frac{2}{x}-3<0$ (We cannot crossmultiply with x as x can be negative or positive)

or $\frac{2-3x}{x}<0$

or $\frac{3x-2}{x}>0$

or $\frac{x-2/3}{x}>0$

Sign scheme of $\frac{x-2/3}{x}$ is as follows:

$⇒x∈(-∞,0)∪(2/3,∞)$