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An introduction to sets set operations and venn diagrams basic ways of describing sets use of set notation finite sets infinite sets empty sets subsets universal sets complement of a set basic set operations including intersection and union of sets and applications of sets with video lessons examples and step by step solutions.
Sets and set operations examples. Scroll down the page for more examples and solutions of how to use the symbols. For example a set f can be specified as follows. In set builder notation the set is specified as a selection from a larger set determined by a condition involving the elements. The following table shows some set theory symbols.
A b x x a x b. So for example a is a set and a is an element in a. 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. The union of a and b denoted by a b is the set that contains those elements that are either in a or in b or in both.
Sets can be used to carry out mathematical set operations like union intersection difference and symmetric difference. When talking about sets it is fairly standard to use capital letters to represent the set and lowercase letters to represent an element in that set. Same with b and b and c and c. Let a and b be sets.
We can do this with operators or methods. A 1 2 3 6 b 2 4 6 9 a b 1 2 3 4 6 9 u a b cs 441 discrete mathematics for cs m. A set is a collection of objects things or symbols which are clearly defined. The union of sets a and b denoted by a b is the set defined as.
The symbol is employed to denote the union of two sets. The individual objects in a set are called the members or elements of the set. Here four basic operations are introduced and their properties are discussed. Here are some useful rules and definitions for working with sets.
For example suppose that committee a consisting of the 5 members jones blanshard nelson smith and hixon meets with committee b. Definition union. . Venn diagrams and set operations.
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