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Question

Mathematics Question on mathematical reasoning

The negative of the statement p(pq)\sim p \wedge( p \vee q ) is

A

pq\sim p \vee q

B

pqp \vee \sim q

C

pq\sim p \wedge q

D

pqp \wedge \sim q

Answer

pqp \vee \sim q

Explanation

Solution

(p(pq))\sim(\sim p \wedge(p \vee q)) p(pq)p \vee(\sim p \wedge \sim q) (pvp)t(pvq)\underbrace{(p v \sim p)}_{t} \wedge(p v \sim q) pqp \vee \sim q