For each of the following statements,determine whether an inclusive "Or" or exclusive "Or" is used. Give reasons for your answer.
The school is closed if it is a holiday or a Sunday.

The negation of the statement "$2 + 3 = 5$ and $8 < 10$" is:

The negation of the statement "If an integer is greater than $4$ and less than $5$, then it is a multiple of $3$" is:

Which of the following statement patterns is a tautology?
$S_{1} \equiv \sim p \rightarrow (q \leftrightarrow p)$
$S_{2} \equiv \sim p \vee \sim q$
$S_{3} \equiv (p$ $\rightarrow q) \wedge (q$ $\rightarrow p)$
$S_{4} \equiv (q \rightarrow p) \vee (\sim p \leftrightarrow q)$

The negation of $(p \land q) \to ((p \lor r) \to \sim q)$ is equivalent to ...

Which of the following quantified statements is true?