The statement pattern $(p \wedge q) \wedge [(p \wedge q) \vee (\sim p \wedge q)]$ is equivalent to

The logical statement $(p \lor q) \land [(\sim p \land q) \lor (p \land \sim q)] \land \sim q$ is logically equivalent to ...

What is the dual statement of the statement "Rina is healthy and Mina is beautiful"?

The contrapositive of the statement pattern $[p \lor (p \to q)] \to (p \land \sim q)$ is

For each of the following compound statements,first identify the connecting words and then break it into component statements.
The sand heats up quickly in the Sun and does not cool down fast at night.

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