Use De Morgan's law to select the statement that is logically equivalent to:"It is not true that every student turned in the lab or the written homework."a. Some student turned in the written homework but not the lab.b. Some student turned in the lab but not the written homework.c. There is a student who didn't turn in the lab or didn't turn in the written homework.d. There is a student who didn't turn in the lab and didn't turn in the written homework.

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Answered: Use De Morgan's law to select the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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On Raymond Island, "knights" always tell the truth, "knaves" always lie, and "normals" sometimes tell the truth and sometimes lie. You meet 4 islanders, denoted A, B, C,.... At least one is a knight, and at least one is a knave. They state: A: If B is a knave, then C is a knight. B: D is a knight if and only if C is a knight. C: If B is a knave, then A is a knave. D: C is a knave if and only if A is a knave. Create notation for what each person is, and what you learn from each statement. Who are knights, who are knaves, and who are normals? On Raymond Island it will be especially important to restate and define notation, since, e.g., an islander that is not a knight is not necessarily a knave and doesn't necessarily tell lies.
1. In a far away land there are exactly two types of people: The 'Liars' and the Truth tellers. Every statement that a 'Liar' says is a lie (without exceptions). Every statement that a "Truth teller' says is the truth (without exceptions). Solve the following problems and prove your solutions. a. Traveling in this land you meet two people, Don and Roy. Don says: "I am a 'Liar' or Roy is a 'Truth teller'". Which type of people Don and Roy are? b. In the same land you meet three new people, A, B and C. A says: "B is a 'Liar". B says: "A and Care of the same type". Which type of person C is? c. Again in this land you meet two new people, Sara and Jane. Sara says: "If Jane is a 'Truth Teller' then I am a 'Liar'". Which type of people Sara and Jane are? d. In the same land you meet a guy named Michael. Michael says: "I am a 'Truth Teller' if and only if I am wearing a hat". Is Michael wearing a hat?
Use De Morgan's laws to write a statement that is equivalent to the following statement. It is not true that I do not make the bed and she makes the bed. O I do not make the bed, or she does not make the bed. O fl make the bed, then she does not make the bed. O Imake the bed, and she does not make the bed. I make the bed, or she does not make the bed.
Tony Soprano, leader of the Soprano crime syndicate of NJ, was killed by one of his own henchmen. Detective Vin interviews the men and determines that all were lying except for one, based on what he remembers from Hall250 . He has deduced who killed Tony on the basis of the following statements: Bobby: Ralph killed Tony. Silvo: Paulie didn’t kill Tony. Ralph: Paulie was shooting craps with Bobby when Tony was knocked off. Paulie: Ralph didn’t kill Tony. Who killed Tony? Explain your logic.
17. Each of the following sentences expresses an implica- tion. Rewrite each in the form "If p, then q." (a) Touch those cookies if you want a spanking. (b) Touch those cookies and you'll be sorry. (c) You leave or I'll set the dog on you. (d) I will if you will. (e) I will go unless you stop that.
4.) 5.) 6.)
Which of the following are examples of Inductive (I) or Deductive (D) reasoning. a) All raccoons are omnivores. This animal is a raccoon. This animal is an omnivore. b) Every cat that you've observed purrs. Therefore, all cats must purr. Grocery store employees wear football jerseys on Fridays. Today is c) Friday. Grocery store employees will be wearing football jerseys today. d) Ray is a football player. All the other football players on the high school team weigh more than 1701bs. Therefore, Ray must weigh more than 170 lbs.

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