Answer the following. Write your complete solution in a separate sheet of paper.
1. Let P = I played tennis this morning, and Q = I went swimming this afternoon.
Interpret each of the following:
a. P V Q c. P Λ Q e. ~( P V Q)
b. P V ~Q d. ~ P V Q f. ~( P Λ Q)
2. Set up truth tables for (p V q) and (p V q). Where do they differ?
3. Show that (p V q) <=> [(p V q) Λ ~(p Λ q)].
In Nos. 4 -5, use Theorems 11 and 12 to formulate (in good English) the negation of each of the compound sentences.
4. I had a sandwich and a cup of coffee.
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