in the questions below suppose the variable x represents students and y represents courses, and:
u(y): y is an upper-level course m(y): y is a math course, f(x): x is a freshman
a(x): x is a part-time student, t(x, y): student x is taking course y
b(x): x is a full-time student
write the statement using these predicates and any needed quantifiers.
a. every student is taking at least one course.
b. there is a part-time student who is not taking any math course.
write the statement in good english without using variables in your answers.
c. ? x? yt(x, y).
d. ? x? yt(x, y).
e. ? x? y[(b(x) ? f(x)) ? (m(y) ? t(x, y))].