How do you find the union of two set?

Answer 1

The union of two sets A and B is the collection of points which are in A or in B (or in both):

A simple example:

Another typical example:

Other more complex operations can be done including the union, if the set is for example defined by a property rather than a finite or assumed infinite enumeration of elements. As an example, a set could be defined by a property or algebraic equation, which is referred to as a solution set when resolved. An example of a property used in a union would be the following:A = {x is an even number, x > 1}B = {x is an odd number, x > 1}

If we are then to refer to a single element by the variable "x", then we can say that x is a member of the union if it is an element present in set A or in set B, or both.

Sets cannot have duplicate elements, so the union of the sets {1, 2, 3} and {2, 3, 4} is {1, 2, 3, 4}. Multiple occurrences of identical elements have no effect on the cardinality of a set or its contents. The number 9 is not contained in the union of the set of prime numbers {2, 3, 5, 7, 11, …} and the set of even numbers {2, 4, 6, 8, 10, …}, because 9 is neither prime nor even.

Answer 2

The Union of those sets is called combining all the elements of any two sets.

• In the union of sets, element is written only once even if they exist in both the sets.
• Union of two sets is commutative i.e. if A and B are two sets, then A ∪ B = B ∪ A
• Union of sets is also associative. If A, B, and C are three sets, then A ∪ (B ∪ C) = (A ∪ B) ∪ C