So I was trying these practice exercises I thought of this a

So I was trying these practice exercises.

I thought of this answer.

However, the right answer is the one below. Are there logically equivalent?

Could somebody explain with a lot of details why or why not they are or arent? Thanks a lot for your time and effort !!!

e) There is a student in this class who has taken ev- ery course offered by one of the departments in this School.

Solution

There is no need to introduce variable \'z\' because in the mentioned problem they are talking only about one department. And make \'x\' a varible which represent the students in the class and \'y\' denote the total courses offered by the department. Hence the mentioned answer (e) is correct with the given explanation.