State whether the "Or" used in the following statement is "exclusive" or "inclusive". Give reasons for your answer.
All integers are positive or negative.

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

Given $p$: $A$ man is a judge,$q$: $A$ man is honest. If $S_1$: If a man is a judge,then he is honest; $S_2$: If a man is a judge,then he is not honest; $S_3$: $A$ man is not a judge or he is honest; $S_4$: $A$ man is a judge and he is honest. Then:

The contrapositive of the statement: 'If a function $f$ is differentiable at $a$,then it is also continuous at $a$',is

The negation of $(p \wedge \sim q) \rightarrow (p \vee \sim q)$ is

Which of the following is the negation of the statement "For all $M > 0$,there exists $x \in S$ such that $x \geqslant M$"?