$(p \wedge r) \Leftrightarrow (p \wedge (\sim q))$ is equivalent to $(\sim p)$ when $r$ is.

If $p$ and $q$ are true statements and $r$ and $s$ are false statements,then the truth values of the statement patterns $(p \wedge q) \vee r$ and $(p \vee s) \leftrightarrow(q \wedge r)$ are respectively

For each of the following compound statements,first identify the connecting words and then break it into component statements.
Square of an integer is positive or negative.

Write the negation of the following statement:
$p:$ For every real number $x, x^{2} > x.$

Negation of the Boolean expression $p \Leftrightarrow (q \Rightarrow p)$ is:

Which of the following is true?