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Sets and Subsets
The ability to classify items into sets is important in many contexts. For example, the registrar of a university puts students into classes. Each class can be considered a set. It can also be considered a subset of the entire student population. The admissions officer puts students into majors. Again, each major can be considered a subset of the entire student population. At graduation, students need to be put into groups with similar GPAs for honors, groups with similar degrees, or groups from different schools within the university. On this Unit’s Discussion Board, you will investigate sets, subsets, and proper subsets making at least three posts as described below.
Post 1
Review an example of a response for this Discussion.
Post 2
Review an example of a response for this Discussion
Post 3
Discussion Guidelines
In this unit’s Discussion, you will interact with your classmates on the course content. Remember, your goal for Discussion Assignments is to ensure that:
Keep in mind that when you post, you should include references to the textbook and any material found online. The class is all about sharing knowledge, so use Discussions as a way of creating a community resource for yourself and your classmates.
Please response to patrick post:
Name: Patrick Michael Hogan
Universal Set:
U={Patrick,Michael,Hogan}
Subsets:
{Patrick,Michael,Hogan}, {Patrick,Michael}, {Patrick,Hogan}, {Michael, Hogan}, {Patrick}, {Michael}, {Hogan}, {}
There are 8 Subsets.
Proper Subsets:
{Patrick,Michael}, {Patrick, Hogan}, {Michael, Hogan}, {Patrick}, {Michael}, {Hogan}, {}
Not every subset of a set is a proper set. This can be seen in the example from the book which states “consider C = {car, bus, train} and D = {train, car, bus}. Set C is a subset of set D, C ⊆ D, because every element of set C is also an element of set D. Set C, however, is not a proper subset of set D, C ⊄ D, because set C and set D are equal sets.”
Please also response to Nona:
Name: Nona Ann Foga
Universal Set: U= {Nona, Ann, Foga}
Subsets: {Nona, Ann, Foga}, {Nona, Ann} {Nona, Foga}, {Ann, Foga}, {Nona}, {Ann}, {Foga}, {}
Proper Subsets: {Nona, Ann}, {Nona, Foga}, {Ann, Foga}, {Nona}, {Ann}, {Foga}, {}
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