$\text { Write the negation of the conditional. Use the fact that the negation of } p \rightarrow q \text { is } p \wedge \sim q \text {. }$
-If you give your hat to the doorman, he will give you a dirty look.
A)If you give your hat to the doorman he will not give you a dirty look.
B)You do not give your hat to the doorman and he will not give you a dirty look.
C)You give your hat to the doorman and he will not give you a dirty look.
D)You do not give your hat to the doorman and he will give you a dirty look.

Question

Quizplus · Accepted Answer

The original statement is a conditional of the form $p \rightarrow q$, where $p$ is "you give your hat to the doorman" and $q$ is "he will give you a dirty look". The negation of $p \rightarrow q$ is $p \wedge \sim q$, which translates to "You give your hat to the doorman and he will not give you a dirty look."