Let $p$ and $q$ be two statements. Amongst the following,the statement that is equivalent to $p \to q$ is

The negation of the statement "For every real number $x$,$x^2+5$ is positive" is

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.

$(p \wedge \sim q) \wedge (\sim p \vee q)$ is :-

Which of the following is not a statement?

The dual of $\left(x^{\prime} \vee y^{\prime}\right) = x \wedge y$ is