Discrete Math: Logic Exercise 3
In this exercise, practice your logical reasoning skills with problems on discrete mathematics. Strengthen your understanding of logical operators, truth tables, and propositional logic. Enhance your problem-solving abilities by tackling various scenarios and applying logical rules effectively. Get ready to dive deep into the world of discrete mathematics and level up your logic game!
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Discrete Math: Logic Exercise 3
Exercise What is the negation of each of these propositions? a) Steve has more than 100 GB free disk space on his laptop. b) Zach blocks e-mails and texts from Jennifer. c) 7 11 13 = 999. d) Diane rode her bicycle 100 miles on Sunday.
Solution a) Steve does not have more than 100 GB free disk space on his laptop. (Alternatively: Steve has less than or equal to 100 GB free disk space on his laptop.) b) Zach does not block e-mails and texts from Jennifer. (Alternatively, and more precisely: Zach does not block e-mails from Jennifer, or he does not block texts from Jennifer. Note that negating an "and" statement produces an "or" statement. It would not be correct to say that Zach does not block e-mails from Jennifer, and he does not block texts from Jennifer. That is a stronger statement than just the negation of the given statement.) c) 7 11 13 999. d) Diane did not ride her bike 100 miles on Sunday.
References Discrete Mathematics and Its Applications, McGraw-Hill; 7th edition (June 26, 2006). Kenneth Rosen Discrete Mathematics An Open Introduction, 2nd edition. Oscar Levin A Short Course in Discrete Mathematics, 01 Dec 2004, Edward Bender & S. Gill Williamson
