Let q(x, y) be the statement "student x has been a contestant on quiz show y." express each of these sentences in terms of q(x, y), quantifiers, and logical connectives, where the domain for x consists of all students at your school and for y consists of all quiz shows on television. a) there is a student at your school who has been a contestant on a television quiz show. b) no student at your school has ever been a contestant on a television quiz show. c) there is a student at your school who has been a contestant on jeopardy and on wheel of fortune. d) every television quiz show has had a student from your school as a contestant. e) at least two students from your school have been contestants on jeopardy.