If p→q is false can you find the truth value of ~ (p ∧ q) →q? Explain your answer.

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According to the definition of implication

$p \rightarrow q$

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

$p \land q$

is false (a conjunction of false and true).

$\neg (p \land q)$

is true. Therefore using the definition of implication

$\neg (p \land q) \rightarrow q$

is false (true implication false).

Answer. the resulting value is false.