1. The problem asks to express the quantification \(\exists x \exists y P(x,y)\) in English. 2. The predicate \(P(x,y)\) means "Student \(x\) has taken class \(y\)." The domain for \(x\) is all students in your class, and for \(y\) is all computer science courses at your school. 3. The quantifier \(\exists x\) means "there exists at least one student \(x\)." The quantifier \(\exists y\) means "there exists at least one class \(y\)." 4. Putting it together, \(\exists x \exists y P(x,y)\) means "There exists at least one student and at least one computer science course such that the student has taken that course." 5. In simpler English: "There is at least one student in your class who has taken at least one computer science course at your school."