Problem 3: Let Q(x, y) be the statement "Student x has been a contestant on quiz show y". Express each of the following sentences in terms of Q(x, y), quantifiers, and logical connectives, where the...

Extracted text: Problem 3: Let Q(x, y) be the statement "Student x has been a contestant on quiz show y". Express each of the following sentences in terms of Q(x, y), quantifiers, and logical connectives, where the domain for x consists of all students at your school and the domain for y consists of all quiz shows on television. 1. There is a student at your school who has been a contestant on a television quiz show. 2. No student at your school has ever been a contestant on a television quiz show. 3. There is a student at your school who has been a contestant on Jeopardy and on Wheel of Fortune. 4. Every television quiz show has had a student from your school as a contestant. 5. At least two students from your school have been contestants on Jeopardy.