The statement pattern [p rightarrow(q rightar | vedclass

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Question

(A) First,consider the statement $p$ $ightarrow (q$ $ightarrow p)$. This is equivalent to $
eg p \vee (
eg q \vee p)$,which simplifies to $(
eg

Vedclass · Accepted Answer

$A$ tautology

Vedclass · Answer

(A) First,consider the statement $p$ $ightarrow (q$ $ightarrow p)$. This is equivalent to $
eg p \vee (
eg q \vee p)$,which simplifies to $(
eg p \vee p) \vee 
eg q = T \vee 
eg q = T$. Thus,it is a tautology.Next,consider $p ightarrow (p \vee q)$. This is equivalent to $
eg p \vee (p \vee q)$,which simplifies to $(
eg p \vee p) \vee q = T \vee q = T$. Thus,it is also a tautology.Finally,the expression $[p$ $ightarrow (q$ $ightarrow p)]$ $ightarrow [p$ $ightarrow (p \vee q)]$ becomes $T ightarrow T$,which is $T$. Therefore,the statement pattern is a tautology.

The statement pattern $[p$ $\rightarrow(q$ $\rightarrow p)]$ $\rightarrow[p$ $\rightarrow(p \vee q)]$ is

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