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Question: \(\sim((\sim p)\mspace{6mu} \land q)\) is equal to...

∼((∼p) 6mu∧q)\sim((\sim p)\mspace{6mu} \land q) is equal to

A

p∨(∼q)p \vee (\sim q)

B

p∨qp \vee q

C

p∧(∼q)p \land (\sim q)

D

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

Answer

p∨(∼q)p \vee (\sim q)

Explanation

Solution

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