Union Of Sets Math With Examples

The intersection of two sets is the set of elements which are in both sets.

Union of sets math with examples. A finite union is the union of a finite number of sets. The intersection of a and b written a b 3. For example the union of three sets a b and c contains all elements of a all elements of b and all elements of c and nothing else. Thus x is an element of a b c if and only if x is in at least one of a b and c.

Shade elements which are in p or in q or in both. Scroll down the page for more examples. We write a b basically we find a b by putting all the elements of a and b together. Given two sets a and b the union is the set that contains elements or objects that belong to either a or to b or to both.

In set builder notation the set is specified as a selection from a larger set determined by a condition involving the elements. There is no need to list the 3 twice. It is denoted by a b and is read a union b. Draw and label a venn diagram to show the union of p and q.

Let counting numbers p multiples of 3 less than 20 and q even numbers less than 20. Sometimes there will be no intersection at all. Now the union of a and b written a b 1 2 3 4 5. A union is often thought of as a marriage.

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. We next illustrate with examples. The union of two sets a and b is the set of elements which are in a or in b or in both. Commutative associative identity and distributive.

Venn diagram of union of sets. The union of the set is denoted by the symbol. The phrase does not imply that the union set is a finite set. In that case we say the answer is the.

We use and for intersection and or for union let s look at some more examples of the union of two sets. For example a set f can be specified as follows. Let a 1 2 3 and b 3 4 5. The following table gives some properties of union of sets.

The union of two sets a and b is defined as the set of all the elements which lie in set a and set b or both the elements in a and b altogether. 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. Before understanding the difference between the two set operators union and intersection let s understand the concept of set theory first.