Let $S$ be the set of positive integral values of a for which $\frac{a^{2}+2(a+1) x+9 a+4}{x^{2}-8 x+32}<0, \forall \mathbf{x} \in \mathbb{R}$.
Then, the number of elements in $S$ is :
(1) 1
(2) 0
(3) $\infty$
(4) 3
$a x^{2}+2(a+1) x+9 a+4<0 \forall x \in R$
$\therefore a<0$
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