The conditional statement $(p \wedge q) \implies p$ is:

Which of the following sentences are statements? Give reasons for your answer.
"Answer this question."

Which of the following is equivalent to the Boolean expression $p \wedge \sim q$?

Which of the following statements has the truth value $T$?
$A$: Cube roots of unity are in Geometric Progression and their sum is $0$.
$B$: $4+7 > 10$ iff $2+8 < 10$.
$C$: $\exists x \in N$ such that $x^2-3x+2=0$ and $\exists n \in N$ such that $n$ is an odd number.
$D$: $3+i$ is a complex number or $\sqrt{2}+\sqrt{3}=\sqrt{5}$.

For each of the following statements,determine whether an inclusive "Or" or exclusive "Or" is used. Give reasons for your answer.
Two lines intersect at a point or are parallel.

The negation of $(p \wedge (\sim q)) \vee (\sim p)$ is equivalent to: