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What does the complement of a set mean?
The complement of a set "A" is another set - call it "B" - that contains all the elements (of the universe under consideration) which are NOT in set "A". The "universe" must be specified (or implied), since concepts like the "set of all sets" are known to cause contradictions. For example, if the universe is all the people living in my country, and set "A" is all male people, then the "complement" would be the female people.
In mathematics when we talk about a(n) we are talking about all the people places or things under consideration?
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What are the 4 basic operations on set?
A set is a collection of well defined objects known as elements Opperatons of sets are 1)union - the union of sets A and B is the set that contains all elements in A and all elements in B. intersection - given two sets A and B, the intersection of A and B is a set that contains all elements in common between A and B. compliments - given set A, A compliment is the set of all elements in the universal set but not in A difference - A-B is a set containing all elements in A that are not in B. symmetric difference - it is the sum of A and B minus A intersection B.
What is empty and universal set?
The empty set is the one that contains nothing at all. The universal set contains everything. Those are oversimplified definitions, but provide a good place to start. When we talk about things in sets, we call the things contained in the sets elements. So we can be more precise and say the empty set is a unique set with no elements. The universal set contains all elements INCLUDING itself.
What is the definition of union in math?
A union of two sets is the set that contains all the elements that are in any of the original sets.
