how to solve and understand subset super set proper subset cardinality set union set equality set complementary set intersection set universal unit and empty set venn diagram disjointed set classification of three set in venn diagram and laws of algebra how to solve and prove it very well
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(Mathematics) at Grand Valley State University
Publisher: ScholarWorks @Grand Valley State University
Before beginning this section, it would be a good idea to review sets and set notation, including the roster method and set builder notation, in Section 2.3.
PREVIEW ACTIVITY 5.1.1: Set Operations
In Section 2.1, we used logical operators (conjunction, disjunction, negation) to form new statements from existing statements. In a similar manner, there are several ways to create new sets from sets that have already been defined. In fact, we will form these new sets using the logical operators of conjunction (and), disjunction (or), and negation (not). For example, if the universal set is the set of natural numbers N and
A={1,2,3,4,5,6} and B={1,3,5,7,9},
The set consisting of all natural numbers that are in A and are in B is the set {1, 3, 5};
The set consisting of all natural numbers that are in A or are in B is the set {1, 2, 3, 4, 5, 6, 7, 9}; and
The set consisting of all natural numbers that are in A and are not in B is the set {2, 4, 6}.
These sets are examples of some of the most common set operations, which are given in the following definitions.