The conditional $(p \wedge q) \Rightarrow p$ is :-

If $p \rightarrow (q \vee r)$ is false,then what are the truth values of $p, q, r$ respectively?

Rewrite the following statement using "if-then" in five different ways conveying the same meaning:
"If a natural number is odd,then its square is also odd."

Write the negation of the following statement:
$s:$ There exists a number $x$ such that $0 < x < 1.$

$S_1$: If $-7$ is an integer,then $\sqrt{-7}$ is a complex number.
$S_2$: $-7$ is not an integer or $\sqrt{-7}$ is a complex number.

The statement $(p \wedge (\sim q)) \vee ((\sim p) \wedge q) \vee ((\sim p) \wedge (\sim q))$ is equivalent to