A) \[(p\wedge q)\to (p\vee r)\]
B) \[(p\vee r)\to (p\wedge q)\]
C) \[p\vee r\]
D) \[p\wedge q\]
Correct Answer: A
Solution :
Given, q is F and \[(p\wedge q)\leftrightarrow r\]is T \[\Rightarrow \]is F and r is F Now, q is F and r is F \[\Rightarrow \]\[(p\wedge r)\]is F \[\Rightarrow \]\[(p\wedge r)\to (p\vee r)\]is tautology.
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