Consider the following two propositions: \[ \begin{array}{l} P_{1}: \sim(p \rightarrow \sim q) \...

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Consider the following two propositions:
\[
\begin{array}{l}
P_{1}: \sim(p \rightarrow \sim q) \\
P_{2}:(p \wedge \sim q) \wedge((\sim p) \vee q)
\end{array}
\]
If the proposition \( p \rightarrow((\sim p) \vee q) \) is evaluated as FALSE, then:
(a) \( P_{1} \) is TRUE and \( P_{2} \) is FALSE
(b) \( P_{1} \) is FALSE and \( P_{2} \) is TRUE
(c) Both \( P_{1} \) and \( P_{2} \) are FALSE
(d) Both \( P_{1} \) and \( P_{2} \) are TRUE
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