$ \sim[(\sim p) \wedge q] $ is logically equivalent to

For any two statements $p$ and $q,$ the negation of the expression $p \vee ( \sim p \wedge q)$ is

The inverse of the statement "If the surface area increases,then the pressure decreases." is

Statement-$I$: $(p \wedge \sim q) \wedge (\sim p \wedge q)$ is a contradiction.
Statement-$II$: $(p$ $\rightarrow q) \Leftrightarrow (\sim q$ $\rightarrow \sim p)$ is a tautology.

Write the negation of the following statement and check whether the resulting statement is true:
The sum of $3$ and $4$ is $9.$

If the truth value of the compound statement $[(p \vee q) \wedge (q \to r) \wedge (\sim r)] \to (p \wedge q)$ is false, then the truth values of $p \to q$ and $q \to p$ are respectively...