Construct a truth table to analyze all possible outcomes for each of the following statements, then determine
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Construct a truth table to analyze all possible outcomes for each of the following statements, then determine whether they are valid.
1. \(\sim(p \wedge q) \leftrightarrow(\sim p \vee \sim q)\)
2. \(\sim p \leftrightarrow q \wedge p\)
3. \(p \rightarrow q \leftrightarrow \sim p \vee q\)
4. \(p \wedge q \rightarrow r \leftrightarrow \sim p \vee \sim q \vee r\)
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