Answer to Question #323758 in Discrete Mathematics for Claire

Question

Let P(x,y) be the statement "student x has taken a class y", where the domain for x consist of all students and y consist of all computer engineering courses/subject at your school .

- Expree each of the quantification in

English sentences.

• ∀x∀yP(x,y)

• ∀x∃yP(x,y)

• ∃x∀yP(x,y)

• ∃x∃yP(x,y)

Answer 1

1)    All students take all classes

2)    Every student takes some class

3)    Some student takes all classes

4)    Some student takes some class