Question #123575
If p→q is false can you find the truth value of ~ (p ∧ q) →q? Explain your answer.
1
Expert's answer
2020-06-23T14:38:29-0400

According to the definition of implication


pqp \rightarrow q

is false when p is true and q is false. Hence


pqp \land q

is false (a conjunction of false and true).


¬(pq)\neg (p \land q)

is true. Therefore using the definition of implication

¬(pq)q\neg (p \land q) \rightarrow q

is false (true implication false).

Answer. the resulting value is false.



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