Write an equivalent sentence for the statement.
-If it is raining, you take your hat. (Hint: Use the fact that p → q is equivalent to ~p ∨ q.)
A) It is not raining and you take your hat.
B) It is not raining and you do not take your hat.
C) If it is raining, you do not take your hat.
D) It is not raining or you take your hat.

Question

Quizplus · Accepted Answer

The logical statement "If it is raining, you take your hat" can be represented as $p \rightarrow q$, which is logically equivalent to $\neg p \vee q$. This translates to "It is not raining or you take your hat," matching choice D.

Write an Equivalent Sentence for the Statement