The statement p to (q to p) is equivalent to | vedclass

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Question

(B) We construct the truth table for the given statement and the options. The statement $p 	o (q 	o p)$ is equivalent to $
eg p \vee (
eg q \vee p

Vedclass · Accepted Answer

$p 	o (p \vee q)$

Vedclass · Answer

(B) We construct the truth table for the given statement and the options. The statement $p 	o (q 	o p)$ is equivalent to $
eg p \vee (
eg q \vee p)$,which simplifies to $(
eg p \vee p) \vee 
eg q$,which is $T \vee 
eg q = T$ (a tautology).Checking option $B$: $p 	o (p \vee q)$ is equivalent to $
eg p \vee (p \vee q)$,which simplifies to $(
eg p \vee p) \vee q$,which is $T \vee q = T$ (a tautology).Since both statements are tautologies,they are logically equivalent.$p$$q$$q 	o p$$p 	o (q 	o p)$$p \vee q$$p 	o (p \vee q)$$T$$T$$T$$T$$T$$T$$T$$F$$T$$T$$T$$T$$F$$T$$F$$T$$T$$T$$F$$F$$T$$T$$F$$T$

The statement $p \to (q \to p)$ is equivalent to

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