Bolzano-Weierstrass Theorem is false when $S\subseteq\mathbb{Q}$

Show that the Bolzano–Weierstrass theorem is false when $S \subseteq \mathbb{Q}$. The Bolzano-Weierstrass theorem states that if a set $S\subseteq\mathbb{R}$ is infinite and bounded, it has an accumulation point.

I'm not really sure what to do for this problem, but this is what I have so far.

Assume for contradiction, there are no accumulation points in $\mathbb{Q}$

A set is closed if it contains its accumulation points.

Since $S$ is closed and bounded, it is compact.

Consider $x\in S$, $x$ is not an accumulation point.

Exists $\varepsilon>0$ such that $N^* (x,ε)\cap S\neq\emptyset$.

Any help is greatly appreciated. Thanks in advance!