Question: For the questions below, suppose the variable x represents students and y represents courses, and: U ( y ): y is an upper-level course M

For 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.

Convert the following statements into predicate and quantifier symbols.

  1. Every student is taking at least one course.
  2. There is a part-time student who is not taking any math course.

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