There are several things to do here, but I just used some number sense with each choice. For instance, a greater denominator means a smaller fraction, so $\frac{1}{54}$ is less than $\frac{1}{33}$. But we are told that x is greater than $\frac{1}{33}$. So statement I is out.

We want to keep running with that idea that a greater denominator means a smaller fraction. $\frac{1}{23}$ is indeed bigger than $\frac{1}{54}$, and smaller than $\frac{1}{22}$. It is also greater than $\frac{1}{33}$ and smaller than $\frac{1}{11}$. So choice II works.

For choice III, $\frac{1}{12}$ is greater than $\frac{1}{22}$, but we are told that x is less than $\frac{1}{22}$. So choice B is the right answer: only II works.