What is the statement (p wedge q) rightarrow | vedclass

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Question

(A) The given statement is $(p \wedge q) ightarrow p$. Using the logical equivalence $(A ightarrow B) \equiv (
eg A \vee B)$,we get: $
eg (p \we

Vedclass · Accepted Answer

Tautology

Vedclass · Answer

(A) The given statement is $(p \wedge q) ightarrow p$. Using the logical equivalence $(A ightarrow B) \equiv (
eg A \vee B)$,we get: $
eg (p \wedge q) \vee p$ Applying De Morgan's Law: $(
eg p \vee 
eg q) \vee p$ By the Associative and Commutative laws: $(
eg p \vee p) \vee 
eg q$ Since $(
eg p \vee p) \equiv T$ (Tautology): $T \vee 
eg q \equiv T$ Therefore,the statement is a tautology.

What is the statement $(p \wedge q) \rightarrow p$?

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