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A universal set is a set from which all other sets are taken. A subset is one of the other sets that are derived from the universal set.
Example: The universal set of John Smith Elementary = {1 female principal, 1 male vice principal, 2 male security officers, four female office staff, 1 male nurse, 1 female librarian, 2 female cooks, 1 male cook, 1 male janitor, 8 female teachers, 4 male teaches, 142 elementary boys, 153 elementary girls}
A subset of all children attending John Smith Elementary = {142 elementary boys, 153 elementary girls}
A subset of all females at John Smith Elementary = {1 female principal, four female office staff, 1 female librarian, 2 female cooks, 8 female teachers, 153 elementary girls}
The set of John Smith Elementary is the universal setbecause it contains everyone. The set of all children who attend the school, or the set of all females at the school are subsets because they are sets derived from the universal set.
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What is universal subset?
The null set. It is a subset of every set.
Is null set both a complement and subset of universal set?
Yes.
What the universal set and a subset?
It is the set of all elements we are considering or dealing with in a given problem. We use a capital U or sometimes capital E to mean the universal set. Now take ANY two sets, A and B. If every single element of set A is contained in set B, we say A is a subset of B. The empty set is a subset of every set. Every set in contained in the universal set, so they are all subset of it.
If you be the universal set you is a set of counting numbers and set a of counting numbers from 1 to 10 wh olly contained in you then a is a proper subset of you?
If I understand the question correctly then a is a proper subset of u.
What are the subset of the universal set U equals 1 to 50?
There are 250 subsets. That is 1,125,899,906,842,624 of them and I am NOT proposing to list them.
