The statement (p rightarrow (q rightarrow p)) | vedclass

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(C) To determine if the statement is a tautology,we construct a truth table for the expression $(p$ $\rightarrow (q$ $\rightarrow p))$ $\rightarrow (p

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a tautology

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(C) To determine if the statement is a tautology,we construct a truth table for the expression $(p$ $\rightarrow (q$ $\rightarrow p))$ $\rightarrow (p$ $\rightarrow (p \vee q))$.$p$$q$$q \rightarrow p$$p$ $\rightarrow (q$ $\rightarrow p)$$p \vee q$$p \rightarrow (p \vee q)$$(p$ $\rightarrow (q$ $\rightarrow p))$ $\rightarrow (p$ $\rightarrow (p \vee q))$$T$$T$$T$$T$$T$$T$$T$$T$$F$$T$$T$$T$$T$$T$$F$$T$$F$$T$$T$$T$$T$$F$$F$$T$$T$$F$$T$$T$Since the final column contains only $T$ (True) values for all possible combinations of $p$ and $q$,the statement is a tautology.

The statement $(p$ $\rightarrow (q$ $\rightarrow p))$ $\rightarrow (p$ $\rightarrow (p \vee q))$ is

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