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Question

Question: \(\sim(p \vee (\sim q))\) is equal to...

∼(p∨(∼q))\sim(p \vee (\sim q)) is equal to

A

∼p∨q\sim p \vee q

B

(∼p)∧q(\sim p) \land q

C

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

D

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

Answer

(∼p)∧q(\sim p) \land q

Explanation

Solution

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