Real numbers $x$ and $y$ satisfy the equality
$$\| x | + | y | | = | x + y |$$
Accordingly, which of the following inequalities is always true?\\
A) $x \cdot y \geq 0$\\
B) $x \cdot y \leq 0$\\
C) $x + y \geq 0$\\
D) $x + y \leq 0$\\
E) $x - y \leq 0$