Answer to Question #277826 in Math for Yangyang

Question

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.