Question

Let the following sets be given. The universal set for this problem is the set of all students at some university. F = the set of all freshmen S = the set of all seniors M = the set of all math majors C = the set of all CS majors Using only the symbols F, S, M, C, ||, ∩, ∪, ', and >, translate the following statement into the language of set theory. There are more freshmen who aren't math majors than there are senior CS majors.

Answer 1

|M'∩F| > |S∩C|

Explanation:

The situation is depicted in the picture attached

The green set is

M'∩F = freshmen who aren't math majors and it has |M'∩F| elements

The blue set is

S∩C = senior CS majors and it has |S∩C| elements.

So “There are more freshmen who aren't math majors than there are senior CS majors” can be written as

|M'∩F| > |S∩C|