In the rectangular coordinate plane, the graphs of the functions $f + g$ and $f \cdot g$ defined on the closed interval $[0, 10]$ are shown below.
For the real numbers $a, b$ and $c$ in the closed interval $[0, 10]$,
\begin{itemize}
\item $f(a), f(b)$ and $g(b)$ values are positive,
\item $g(a), f(c)$ and $g(c)$ values are negative.
\end{itemize}
Accordingly, which of the following is the correct ordering of $a, b$ and $c$?
A) $a < c < b$
B) $b < a < c$
C) $b < c < a$
D) $c < a < b$
E) $c < b < a$