Set Operations Examples And Solutions

Union of sets intersection of sets difference of sets complement of set ordered pair ordered n tuple equality of ordered n tuples cartesian product of sets contents sets can be combined in a number of different ways to produce another set.

Set operations examples and solutions. Duplicates don t contribute anythi ng new to a set so remove them. Here four basic operations are introduced and their properties are discussed. 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. The symbol is employed to denote the union of two sets.

Two sets are equal if and only if they have the same elements. Scroll down the page for more examples and solutions. We will look at the following set operations. Set of the common element in a and b.

Above is the venn diagram of a b. The following figures give the set operations and venn diagrams for complement subset intersect and union. Union intersection and complement. The order of the elements in a set doesn t contribute.

Set a 1 4 6 8 set b 0 2 4 8 9 u. The intersection of the sets a and b denoted by a b is the set of elements belongs to both a and b i e. A b 3 4. 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.

Consider the previous sets a and b. For example suppose that committee a consisting of the 5 members jones blanshard nelson smith and hixon meets with committee b. Find out a b. 4 cs 441 discrete mathematics for cs m.