Regarding the subsets $A, B$ and $C$ of the set of natural numbers, the propositions
$$\begin{aligned} & p : 9 \in A \cup B \\ & q : 9 \in A \cap C \\ & r : 9 \notin C \end{aligned}$$
are given. Given that the proposition $(p \Rightarrow q)' \wedge r'$ is true, which of the following statements are true?
I. $9 \in A$ II. $9 \in B$ III. $9 \in C$
A) Only I B) Only III C) I and II D) II and III E) I, II and III
Regarding the subsets $A, B$ and $C$ of the set of natural numbers, the propositions

$$\begin{aligned}
& p : 9 \in A \cup B \\
& q : 9 \in A \cap C \\
& r : 9 \notin C
\end{aligned}$$

are given.
Given that the proposition $(p \Rightarrow q)' \wedge r'$ is true, which of the following statements are true?

I. $9 \in A$
II. $9 \in B$
III. $9 \in C$

A) Only I
B) Only III
C) I and II
D) II and III
E) I, II and III