Write the following statement in the form "if $p$,then $q$":
$q$: There is a traffic jam whenever it rains.

If $p$ and $q$ each have truth value $F$,then the truth values of the statement patterns $(\sim p \vee q) \leftrightarrow \sim(p \wedge q)$ and $\sim p \leftrightarrow (p \rightarrow \sim q)$ respectively are

Identify the quantifier in the following statement and write the negation of the statement.
For every real number $x, x$ is less than $x+1.$

The biconditional statement $p \Leftrightarrow q$ is equivalent to:

The statement $\sim(p \leftrightarrow \sim q)$ is :

Write the negation of the following statement:
$\sqrt{7}$ is rational.