8. Let ?, ?, and ? be true, false and false, respectively. Determine the truth value of the following? a.) (? → ?) ∧∼ ? b.) ? ↔ (? ∧ ?)
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- Question 37 The correct statements are: If both L and ¬L are in D, then L must be also in SD. If both L and ¬L are in D, then ¬L must be also in SD. If both L and ¬L are in SD, then L must be also in D. If both L and ¬L are in SD, then ¬L must be also in D.please take note of the following correction: The sentence "Please note that +/- sign represents private and public modifiers respectively" should be "Please note that +/- sign represents public and private modifiers respectively.For each of the following statements, let the domain be all animals in the world. 1. Express each of the statements using quantifiers and propositional functions. 2. Form the negation of the statement so that no negation is to the left of the quantifier. 3. Express the negation in simple English. (Do not simply use the words “it is not the case that..."). (a) All dogs have fleas (b) There is a horse that can add. (c) Every koala can climb. (d)No monkey can speak French. (e) There exists a pig that can swim and catch fish.
- Express the negation of this statement so that all negation symbols immediately precede predicates: ∃?∀?∀?(?(?, ?) → ?(?, ?, ?))Q: The propositional variables b, v, and s represent the propositions: b: Alice rode her bike today. v: Alice overslept today. s: It is sunny today. Select the logical expression that represents the statement: “Alice rode her bike today only if it was sunny today and she did not oversleep.” b→(s→¬v) 2. b→(s∧¬v) 3. s∧(¬v→b) 4. (s∧¬v)→b Group of answer choices A): b→(s∧¬v) B): b→(s→¬v) C): s∧(¬v→b) D): (s∧¬v)→bQ: The propositional variables b, v, and s represent the propositions: b: Alice rode her bike today. v: Alice overslept today. s: It is sunny today. Select the logical expression that represents the statement: “Alice rode her bike today only if it was sunny today and she did not oversleep.” b→(s→¬v) 2. b→(s∧¬v) 3. s∧(¬v→b) 4. (s∧¬v)→b Group of answer choices b→(s∧¬v) b→(s→¬v) s∧(¬v→b) (s∧¬v)→b 2); The following two statements are logically equivalent (p → q) ∧ (r → q) and (p ∧ r) → q Group of answer choices True False
- 6. Given, A = p A (p V q) and B = p v (p A q). State whether A = B or not. 7. Let P(x), Q(x), and R(x) be the statements. "x is a student," “x is smart," and "x is shy," respectively. Express each of these statements using quantifiers; logical connectives; and P(x), Q(x), and R(x), where the domain consists of all people. a. Some students are shy. b. All smart people are not shy.Only correct answer else you get downvote. The races in which three applicants took part have as of late finished. The primary applicant got a votes, the subsequent one got b casts a ballot, the third one got c votes. For every up-and-comer, take care of the accompanying issue: the number of votes ought to be added to this applicant so he wins the political decision (for example the number of decisions in favor of this competitor was completely more prominent than the number of decisions in favor of some other applicant) Kindly note that for every applicant it is important to take care of this issue freely, for example the additional decisions in favor of any applicant don't influence the computations while finding the solution for the other two competitors. Input :The primary line contains one integer t (1≤t≤104) — the number of experiments. Then, at that point, t experiments follow. Each experiment comprises of one line containing three integers a, b, and c (0≤a,b,c≤109). Output…Directions: Identify the propositions among the given statements. Write P if the statement is a proposition, and NP if not. Give the truth value of the propositions (T or F). (Use a comma as a separator of P and T or F. For instance, P,T .) 1. How far is Unitop from NCCC? 2. Orange is a tertiary color. 3. x - 2 = 2x, when x = -2. 4. You made it! 5. Iran is a country in the Middle East. 6. There are 31 days in December. 7. How are you feeling? 8. Don’t speak when your mouth is full. 9. Mixing blue and yellow produces red. 10. 2x + 1 = 5.
- Let p, q, and r represent the following statements: p: The first ball is red. q: The second ball is white. r: The third ball is blue. Which would be the correct English statement for the symbolic form (¬¬p ∧∧ q) →→ r ? Group of answer choices A .If the first ball is red or the second ball is white, then the third ball is blue. B. If the first ball is not red or the second ball is white, then the third ball is blue. C .If the first ball is not red and the second ball is white, then the third ball is blue. D. If the first ball is red and the second ball is white, then the third ball is blue.Objective: The objective of this discussion is to be aware of the field of logic. Problem Statement: Consider the statement: "There is a person x who is a student in CSEN 5303 and has visited Mexico" Explain why the answer cannot be 3r (S(x)→ M(x)).1. Mathematical logic is a subfield that considers the analysis of logical propositions for the purpose of verifying whether a statement is true or false. Furthermore, propositions can be simple or compound. In the case of compounds, they must be joined with logical operators. Consider the following simple and compound propositions below. Also consider the “>” sign meaning “greater than”. ( ) It is not true that 11 is an even number ( ) It is not true that 11 is a prime number ( ) (2 + 4 = 6) and (1 > 3) ( ) (2 + 2 = 4) ou (3 + 3 = 7) ( ) Brasília é a capital do Brasil ou 2² = 5 Mark the alternative that shows the sequence of logical values, in order, of each proposition. Consider “T” as “true” and “F” as “false”. A V – F – F – V – V B F – V – F – V – F C V – F – V – F - V D F – V – V – V - F E V – V – F – V - F