A student is studying divisibility of integers from the set V = {2,3,4,6,8,9,12,18,27} ...

#1) Create a set representing a real life group of "things". Then represent two subgroups as subsets. Find the union, intersection and complement of these two sets.

For example: Let S = the set of all AAU students. Let A = the set of all AAU students who took Finite Mathematics. Let B = the set of all AAU students who will graduate in February. Then:

A U B= the set of all AAU students who took Finite Mathematics OR will graduate in February.

(A n B) = the set of all AAU students who took Finite Mathematics AND will graduate in February.

A' = the set of all AAU students who did not take Finite Mathematics

B' = the set of all AAU students who will not graduate in February. 

#2) A student is studying divisibility of integers from the set V = {2,3,4,6,8,9,12,18,27} and is interested in those pairs of distinct integers for which one of the integers divides the other. Model this situation by a graph.