QuestionCreate a truth table to show that $\quad[(p \vee q) \rightarrow r] \equiv(p \rightarrow r) \wedge(q \rightarrow r)$.
Explain how the truth table shows these are logically equivalent.

Studdy Solution
The truth table shows that $[(p \vee q) \rightarrow r]$ and $(p \rightarrow r) \wedge (q \rightarrow r)$ have the same truth values for all possible combinations of *p*, *q*, and *r*.
Therefore, they are logically equivalent!