Question

In the questions below suppose the variable x represents students and represents courses, and:

•M(y): y is a math course F(x): x is a freshman
•B(x): x is a full-time student T(x,y): x is taking

•Write the statement in good English without using variables in your answers.

Answer 1

Here the answer is given as follows,

Explanation:

The last three parts are coming with a question mark, so can't answer those parts. post the image or write it properly

a) Every student is taking at least one course.

`\forall x \exists y T(x,y)`

So for all x, there is a y such that T(x,y) is a true will be given by the above statement

b) There is a part-time student who is not taking any math courses.

`\exists x \forall y [A(x) \Lambda (M(y) \rightarrow ~T(x,y))]`