2. ) Solve the following sentence in three ways: a) resolution rule, b)contradiction, and c) chain of reasoning. Use the rules of inference orequivalent laws.1) If the exam is easy, then Juan's score is high.Either the exam is easy or Juan did not studyJuan cheats when he was not able to studyJuan did not cheatTherefore, Juan's score is high

Given: The argument, "If the exam is easy, then Juan's score is high. Either the exam is easy or…

Answered: 2. ) Solve the following sentence in…

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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Given that the given simple components are propositions presented in the situations of the first column, in the second column write the inference that can be deduced then write what rule have used in the third column. Situation Inference Rule Used 1. Either I shall have a drink or I eat. But, I ate. 2. If I love to eat broccoli then I am a vegetarian. But, I am not a vegetarian. 3. If I will play basketball then I will be sprained. If I will be sprained then I will stay at home.
All of the employees at the acmesoft company are either programmers or salespeople. The programmers are always tell the truth, the salespeople always lie. Threes Acmesoft employees - A, B, and C-were standing together in the hallway. A visitor passed by and asked A. "Are you a programmer or a salesperson?" A mumbled an answer that the visitor could not hear clearly. The visitor then asked B, "what did A say?" B replied. "A said that he is a salesperson."At this point, the third employee, C, said ,"Don't believe B; he is lying! What are B and C? 1/ B and C are both programmers 2/ B is a programmer and C is a salesperson 3/ B is a salesperson and C is a programmer 4/ B and C are both salesperson
b) Consider the arguments below: Amin doesn't like mathematics or he attends the classes. If Amin attends the classes or study hard, then he will pass the examination. Amin failed the exam. i) Using variables p, q, r and s, write down the primary statements ii) Write the premises using variables in (i) iii) Find the conclusion of the arguments by using the rules of inference.
Translate the following arguments in to symbols and determine which rule of inference shows the argument is valid. p: The date is June 25, 2010. q: The temperature is above 80 degrees. r: It is sunny. If the date is june 25, 2010, then the temperature is above 80 degrees. The date is June 25, 2010. The temperature is above 80 degrees.
What is the converse of the statement: "If the Eagles win the Super Bowl then I'm the president"? If I'm the president then the Eagles win the Super Bowl. O If I'm not the president then the Eagles don't win the Super Bowl. If the Eagles don't win the Super Bowl then I'm not the president.
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9. Tommy Flanagan was telling you what he ate yesterday afternoon. He tells you, “I had either popcom or raisins. Also, if I had cucumber sandwiches, then I had soda. But I didn't drink soda or tea." Of course you know that Tommy is the world's worst liar, and everything he says is false. What did Tommy eat? Justify your answer by writing all of Tommy's statements using sentence variables (P,Q.R,S,T), taking their negations, and using these to deduce what Tommy actually ate. [8]
sub: discrete
Suppose that the given statements are true. Find the other true statements. (a) Given: If Jessica likes the milk shake, then the play is a success. Jessica likes the milk shake. Which statement must also be true? - The play is not a success. - Jessica does not like the milk shake. - The play is a success. (b) Given: If Isabel prefers black to red, then I liked the poem. If I liked the poem, then the passports are missing. Which statement must also be true? - If the passports are missing, then Isabel prefers black to red. - If Isabel prefers black to red, then the passports are missing. - If the passports are missing, then I liked the poem. (c) Given: If Geometry is Raina's favorite subject, then the dress is on sale. Which statement must also be true? - If Geometry is not Raina's favorite subject, then the dress is not on sale. - If the dress is on sale, then Geometry is Raina's favorite subject. - If the dress is not on sale, then Geometry is not…
Choose what is the conclusion from the following premises: "If I walk under the rain, I get sick" "I take medicine when I am sick." "I did not take medicine"? O O O I walked under the rain I got sick I did not get sick
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