[tex](\sqrt3-1)x \ \textgreater \ \sqrt{12}-3\\
(\sqrt3-1)x\ \textgreater \ 2\sqrt3-3\\
x\ \textgreater \ \frac{2\sqrt3-3}{\sqrt3-1}\\
x\ \textgreater \ \frac{(2\sqrt3-3)(\sqrt3+1)}{2}\\
x\ \textgreater \ \frac{6+2\sqrt3-3\sqrt3-3}{2}\\
x\ \textgreater \ \frac{3-\sqrt3}{2}\\
x\ \textgreater \ \frac{3-1,73}{2}\\
x\ \textgreater \ \frac{1,27}{2}\\
x\ \textgreater \ 0,635 \\
x\in N^*\Rightarrow S:x\in N^*[/tex]