14(q,c) & 30(a,c)

14. Use quantifiers and predicates with more than one vari able to express these statements. a) There is a student in this class who can speak Hindi. b) Every student in this class plays some sport. c) Some student in this class has visited Alaska but has not visited Hawaii. gramming language. ery course offered by one of the departments in this d) All students in this class have learned at least one pro- e) There is a student in this class who has taken ev- school. as exactly one other student in this class. one other student in at least one chat group. f) Some student in this class grew up in the same town g) Every student in this class has chatted with at least 30. Rewrite each of these statements so that negations ap- pear only within predicates (that is, so that no negation is outside a quantifier or an expression involving logical connectives) a) -3y3x P(x, y) b) -Vx3yP(x, y)