First, translate the following statement pair into the symbols of propositional logic (use the letters P and R) (a) We...

First, translate the following statement pair into the symbols of propositional logic (use the letters P and R) (a) We will have a picnic unless it happens to rain (b) We won’t have a picnic only if it happens to rain Second, use truth tables to classify the above statement pairs as logically equivalent, contradictory, consistent, or inconsistent. Show all your work.