1. Let C(x,y) mean that student x is enrolled in class y, where the domain x consists of all students in your school and the domain for y consists of all classes being given at your school. Express this statement as a simple English sentence. a) C(Randy Goldberg, CS 252) 2. A discrete mathematics class contains 1 mathematics major who is a freshman, 12 mathematics majors who are sophmores. 15 computer science majors who are sophmores, 2 mathematics majors who are juniors, and 1 computer science major who is a senior. Express the statement in terms of quantifiers and then determine its truth value. a.) There is a student in the class who is neither a mathematics major nor a junior 3. Translate this nested quantification into an English statement that expresses a mathematical fact. The domain in each case consists of all real numbers. a.) ∀x∀y(((x<0) ∧ (y<0)) -> (xy> 0))
1. Let C(x,y) mean that student x is enrolled in class y, where the domain x consists of all students in your school and the domain for y consists of all classes being given at your school. Express this statement as a simple English sentence.
a) C(Randy Goldberg, CS 252)
2. A discrete mathematics class contains 1 mathematics major who is a freshman, 12 mathematics majors who are sophmores. 15 computer science majors who are sophmores, 2 mathematics majors who are juniors, and 1 computer science major who is a senior. Express the statement in terms of quantifiers and then determine its truth value.
a.) There is a student in the class who is neither a mathematics major nor a junior
3. Translate this nested quantification into an English statement that expresses a mathematical fact. The domain in each case consists of all real numbers.
a.) ∀x∀y(((x<0) ∧ (y<0)) -> (xy> 0))
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