Which of the following is the more accurate statement why 1

Which of the following is the more accurate statement? why?

1) For all students in our class, there exists a section of real analysis they are taking.

OR

2) There exists a section of real analysis for all students in our class.

I think #1 is more accurate because it can be written using set builder notation but I am not sure that is correct and I do not know how to write the statement in set builder notation. Depending on which is more accurate can you tell me why and write the set builder notation for the statement. Thank you!

Solution

To write a sentence in set builder form you have to .look for the variables in the sentence and define the choosen variable using the curly bracket{} and the symbol | to denote \"Such that\". For eg: \"All sheep such that the wool on the body of seep is black\", can be written in set builder form as {sheep | sheep=black wool}

So accordingly the Statement #1 is the correct statement as it can be written in the set builder form.

Set builder form for the statement #1 can be written as:

{students | section=real analysis.}