Let p and q be two statements then ~(p∧(p⇒~q)) is equivalent to

~(p∧(p⇒~q))≡~p∨~(p⇒~q) ≡~p∨p∧q≡ ~p∨q

Let p and q be two statements then ~(p∧(p⇒~q)) is equivalent to

~(p∧(p⇒~q))≡~p∨~(p⇒~q) ≡~p∨p∧q≡ ~p∨q

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Let p and q be two statements then $~ (p \land (p \Rightarrow ~ q))$ is equivalent to

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$p \lor (~ p \land q)$

$p \lor (p \land q)$

$p \lor (p \land (~ q))$

$(~ p) \lor q$

answer is C.

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Detailed Solution

$\begin{array}{l} ~ (p \land (p \Rightarrow ~ q)) \equiv ~ p \lor ~ (p \Rightarrow ~ q) \\ \equiv ~ p \lor p \land q \equiv ~ p \lor q \end{array}$

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Let p and q be two statements then $~ (p \land (p \Rightarrow ~ q))$ is equivalent to