16 Let A B and C and D be the following statements A The vil

16. Let A, B, and C, and D be the following statements: A The villain is French. B The hero is American. C The heroine is British. D The movie is good. Translate the following compound statements into symbolic notation.

Solution

a. The hero is American and the movie is good. BD

b. Although the villain is French, the movie is good. AD

c. If the movie is good, then either the hero is American or the heroine is British. D(BC)

d. The herois not American, but the villain is French.

e. A British heroine is a necessary condition for the movie to be good.