Union Of Sets Math With Examples

The following table gives some properties of union of sets.

Union of sets math with examples. Draw and label a venn diagram to show the union of p and q. A finite union is the union of a finite number of sets. 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. Scroll down the page for more examples.

Let a 1 2 3 and b 3 4 5. Sometimes there will be no intersection at all. . Venn diagram of union of sets.

It is denoted by a b and is read a union b. The union of the set is denoted by the symbol. In set builder notation the set is specified as a selection from a larger set determined by a condition involving the elements. The intersection of two sets is the set of elements which are in both sets.

For example a set f can be specified as follows. In that case we say the answer is the. The phrase does not imply that the union set is a finite set. Before understanding the difference between the two set operators union and intersection let s understand the concept of set theory first.

Let us consider a universal set u such that a and b are the subsets of this universal set. We write a b basically we find a b by putting all the elements of a and b together. 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.

The union of two sets a and b is the set of elements which are in a or in b or in both. 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. 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. 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.

Now the union of a and b written a b 1 2 3 4 5. Thus x is an element of a b c if and only if x is in at least one of a b and c. There is no need to list the 3 twice. A union is often thought of as a marriage.

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. Commutative associative identity and distributive. Let counting numbers p multiples of 3 less than 20 and q even numbers less than 20.