the result after applying a predicate P to a value of subject x is the
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- Write the statement in predicates using quantifiers: All COVID-19 vaccines have not been sufficiently testedEvery if construct begins with if and must be terminated with .a. endb. endifc. stopd. fiRustic Tastes is a brownie shop that sells 30 kinds of brownies, where brownies of thesame kind are indistinguishable, and there are at least 25 brownies of each kind. Vibrant Flavorsis a newer brownie shop that sells 40 kinds of brownies, where brownies of the same kind areindistinguishable, but there are only at least 15 brownies of each kind. Please leave your answer ina compact form, e.g. C(9, 4) instead of 126. (a) Which shop has more ways that you can get a box of 7 brownies, and by how much?(b) How many ways can you get a box of 10 brownies from Vibrant Flavors if you want to be sure to get at least 2 Citrus Central brownies and 4 Caramel Turtle brownies?(c) How many ways can you get a box of 12 brownies from Rustic Tastes if you want to get exactly 3 Basic Blondie and 3 Chocolate Melt brownies?
- Suppose that: • variable X can represent any creature, • the predicate tove(X) is true if and only if X is a tove, • the predicate slithy(X) is true if and only if X is slithy, and • the function action(X) is a function that returns the kind of action that X is able to perform. Write a statement in predicate logic with the following meaning: "Any tove that can gyre or gimble must also be slithy." The following symbols are provided for you to copy if you wish (though not many of them are needed in this question, and you are not limited to using only the symbols that are listed here): 3 V A V ¬ A → € e ± Answer:Tanslate each of these statements into logical expressions using predicates, quan-tifiers, and logical connectives. A) Not all cats can jump high. Assume the domain is all animals. B) Some cats hate all dogs. Assume the domain is all animals. C) No drivers obey the speed limit if they are in a hurry. Assume the domain is allpeople.Consider the following predicate: P = A or B or C. What are the Unique True Points and Near False Points for this predicate?
- Let B(x) be the statement "X is a ball", R(x) be the statement "X is round and let S(x) be the statements "X is a soccer ball" where the domain consists of the whole world. Write the following sentences using predicates and qunitifiers: a) All balls are round b) Some soccer balls are round c) Some soccer balls are not round d) Every soccer ball is round e) A soccer ball is roundUser A for the universal quantifier symbol and E for the existential quantifier symbolLet Q(n) be the predicate “n2 ≤ 30”, write Q(2), Q(-2), Q(7), Q(-7), and indicate whether each statement is true or false1. Use resolution to determine if the following arguments are valid. Use the predicates suggested.
- Define the following predicates: • A(x) : x is on the board of directors." • E(x) : x earns more than $100, 000. • W(x) : x works more than 60 hours per week. The domain is the set of all employees of a certain company. Match each English statement with its equivalent logical expression. ? v 1. Everyone who works more than 60 hours per week earns more than $100,000. A. 3x(E(x) ^ ¬W(x)) B. Vx(W(x) → E(x)) C. Ex(¬A(x) → E(x)) D. Vx(W(x) ^ E(x)) E. 3x(¬A(x) ^ E(x)) F. 3x(A(x) ^ ¬E(x)^ W(x)) G. Ex(A(x) V ¬E(x) V W(x)) H. Vx(A(x) → E(x)) I. Vx(A(x) ^ E(x)) 2 v 2. Someone on the board of directors does not earn more that $100.000 and works more than 60 hours per week. ? v 3. Every member of the board of directors earns more than $100,000. 2. v 4. There is someone who is not on the board of directors and earns more than $100,000. ? v 5. There is someone who earns more than $100,000, but does not work more than 60 hours per week.When a Predicate has only a single Clause, which of the following Clause coverage criteria is enough to cover the Clause. a. General Inactive Clause Coverage b. Restricted Active Clause Coverage c. General Active Clause Coverage d. Predicate Coverage e. Combinatorial Clause CoverageOne of the following items is a run-on (or fused) sentence, another contains a comma splice, and another is correct. Choose the item that is correct. One of the following items is a run-on (or fused) sentence, another contains a comma splice, and another is correct. Choose the item that is correct. The food in that diner is awful besides the service is slow. The food in that diner is awful, besides the service is slow. The food in that diner is awful; besides, the service is slow.