For the statement p and q, consider the following compound statements:

Question

$\textbf{A.}\quad\{\neg q\land(p\rightarrow q)\}\rightarrow\neg p$

B. {(pvq)^-p} → q

Then which of the following statement is correct:

(i) A is a tautology but not B

(ii) A and B both are not tautologies

(iii) A and B both are tautologies

(iv) B is a tautology but not A

24 Feb 2025

Answer :

Word Count : 359

We will analyze the given compound statements manually to determine whether they are tautologies. ### Step 1: Understanding the Statements #### Statement A: \[ \{\neg q \land (p \rightarrow q)\} \rightarrow \neg p \] - Implication Transformation: $ p \rightarrow q $ is equivalent to $ \neg p \lor q $. - Rewrite A: \[ (\neg q \land (\neg __________ ___ _____ _____ ___ ________ ____ ________ ___ ________.
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