The statement indicates that both \(s\) and \(t\) are integers with \(s > t\) and \(t \neq 0\).
It would be simpler to tackle with substitution examples. Assuming two mirroring scenarios,

1) \(s = -1\) and \(t = -2\)
\(\implies \frac{s }{ t} = \frac{-1 }{-2} = \frac{1 }{2} \implies \frac{s}{t} > s\)

2) \(s = 2\) and \(t = 1\)
\(\implies \frac{s }{ t} = \frac{2}{1} = 2 \implies \frac{s}{t} = s\)

These are two contradictory situations, so the answer is Option D