P.16 1.1 4. f) If I did not buy a lottery ticket this week, then I did not win the million dollar jackpot on Friday. g) I did not buy a lottery ticket this week, and I did not win the million dollar jackpot on Friday. h ) Either I did not buy a lottery ticket this week, or else I did buy one and won the million dollar jackpot on Friday. 10. a) r ∧ ┐q b) p ∧ q∧ r c) r → p d) p ∧ ┐q ∧ r e) (p ∧ q) → r f) r↔ ( q ∨ p) 20. a) If I am to remember to send you the address, then you will have to send me an e-mail message.(This has been slightly reworded so that the tenses make more sense.) b) If you were born in the United States, then you are a citizen of this country. c) If you keep your textbook, then it will be a useful reference in your future courses.(The word "then" is understood in English, even if omitted.) d) If their goaltender plays well, then the Red Wings will win the Stanley Cup. e) If you get the job, then you had the best credentials. f) If there is a storm, then the beach erodes. g) If you log on to the server, then you have a valid password. h) If you don’t begin your climb too late, then you will reach the summit. 33. c) p q r (p →q) ∨(┐p →r ) T T T T T T F T T F T T T F F T F T T T F T F T F F T T F F F T P.26 1.2 8. a) Kwame will not take a job in industry and he will not go to graduate school. b) Yoshiko doesn’t know Java or she doesn’t know calculus. c) James is not young or he is not strong. d) Rita will not move to Oregon and she will not move to Washington. 10. a) p q ┐p p∨q ┐p∧(p∨q) [┐p∧(p∨q)]→q T T F T F T T F F T F T F T T T T T F F T F F T c) p ...
