Let $x$ and $y$ be real numbers,
$$x^{2} \cdot y^{2} < x \cdot y < x^{2} \cdot y$$
Given this inequality.
Accordingly,
I. $x < 1$
II. $y < 1$
III. $x \cdot y < 1$
Which of these statements are true?
A) Only I
B) Only II
C) I and III
D) II and III
E) I, II and III