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Question

Question: \(\sim(p \Leftrightarrow q)\) is...

∼(p⇔q)\sim(p \Leftrightarrow q) is

A

∼p 6mu∧∼q\sim p\mspace{6mu} \land \sim q

B

∼p 6mu∨∼q\sim p\mspace{6mu} \vee \sim q

C

(p 6mu∧∼q)∨(∼p 6mu∧q)(p\mspace{6mu} \land \sim q) \vee (\sim p\mspace{6mu} \land q)

D

None of these

Answer

(p 6mu∧∼q)∨(∼p 6mu∧q)(p\mspace{6mu} \land \sim q) \vee (\sim p\mspace{6mu} \land q)

Explanation

Solution

∼(p⇔q)=(p 6mu∧∼q)∨(q 6mu∧∼p)\sim(p \Leftrightarrow q) = (p\mspace{6mu} \land \sim q) \vee (q\mspace{6mu} \land \sim p).