Union Of Sets Math 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.

Union of sets math with examples. . 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 use and for intersection and or for union let s look at some more examples of the union of two sets. The union of the set is denoted by the symbol.

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. Commutative associative identity and distributive. Now the union of a and b written a b 1 2 3 4 5. Scroll down the page for more examples.

In set builder notation the set is specified as a selection from a larger set determined by a condition involving the elements. 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. Set theory is a fundamental branch of mathematics that studies sets particularly whether an object belongs or does not belong to a set of objects that are somehow relevant mathematics.

There is no need to list the 3 twice. 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. Draw and label a venn diagram to show the union of p and q. 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.

A union is often thought of as a marriage. It is denoted by a b and is read a union b. In that case we say the answer is the. 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.

Venn diagram of union of sets. A finite union is the union of a finite number of sets. For example a set f can be specified as follows. The following table gives some properties of union of sets.

Let counting numbers p multiples of 3 less than 20 and q even numbers less than 20. Let us consider a universal set u such that a and b are the subsets of this universal set. We next illustrate with examples. We write a b basically we find a b by putting all the elements of a and b together.

Let a 1 2 3 and b 3 4 5. Sometimes there will be no intersection at all. Before understanding the difference between the two set operators union and intersection let s understand the concept of set theory first.