Sets And Set Operations Examples

Thus the set a b read a union b or the union of a and b is defined as the set that consists of all elements belonging to either set a or set b or both.

Sets and set operations examples. 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. We can do this with operators or methods. The individual objects in a set are called the members or elements of the set. A b x x a x b.

In set builder notation the set is specified as a selection from a larger set determined by a condition involving the elements. Scroll down the page for more examples and solutions of how to use the symbols. The union of sets a and b denoted by a b is the set defined as. Here are some useful rules and definitions for working with sets.

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. 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. For example a set f can be specified as follows. In this notation the vertical bar means such that and the description can be interpreted as f is the set of all numbers n such that n is an integer in the range from 0 to 19 inclusive.

A set is a collection of objects things or symbols which are clearly defined. Here four basic operations are introduced and their properties are discussed. 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. Let a and b be sets.

Venn diagrams and set operations. For example suppose that committee a consisting of the 5 members jones blanshard nelson smith and hixon meets with committee b. Sets can be combined in a number of different ways to produce another set. 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 following table shows some set theory symbols. The symbol is employed to denote the union of two sets. Sets can be used to carry out mathematical set operations like union intersection difference and symmetric difference. .