Which one of the following statements is not a tautology?

Question:

Which one of the following statements is not a tautology?

  1. (1) $(p \vee q) \rightarrow(p \vee(\sim q))$

  2. (2) $(p \wedge q) \rightarrow(\sim p) \vee q$

  3. (3) $p \rightarrow(p \vee q)$

  4. (4) $(p \wedge q) \rightarrow p$


Correct Option: 1

Solution:

By truth table :

 

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