Essentials of DISCRETE MATHEMATICS Answer ONLY C and D 2 Let the following predicates be given. The domain is all carsF(x) = "x is fast."66S(x) = "x is a sports car."66E(x) = "x is expensive."66%3DA(x, y) = "x is safer than y.66%3D (a) Write the following statements in predicate logic.1. All sports cars are fast.ii. There are fast cars that aren't sports cars.iii. Every fast sports car is expensive.(b) Write the following predicate logic statement in everyday English.Don't just give a word-for-word translation; your sentence shouldmake sense.)S(x) → (3y)(E(y) ^ A(y, x))]->(c) Formally negate the statement from part (b). Simplify your negationso that no quantifier or connective lies within the scope of a negation.State which derivation rules you are using.(d) Give a translation of your negated statement in everyday English.

Name: Essentials of DISCRETE MATHEMATICS Answer ONLY C and D 2 Let the follo
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Description: Essentials of DISCRETE MATHEMATICS Answer ONLY C and D 2 Let the following predicates be given. The domain is all carsF(x) = "x is fast."66S(x) = "x is a sports car."66E(x) = "x is expensive."66%3DA(x, y) = "x is safer than y.66%3D (a) Write the foll

Let the domain is set of all cars, Fx="xis fast." Sx="x is a sports car." Ex="x is expensive."…

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(c) Formally negate the statement from part (b). Simplify your negation so that no quantifier or connective lies within the scope of a negation. State which derivation rules you are using. (d) Give a translation of your negated statement in everyday English.