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SET - UNION OF SETS

__UNION OF SETS -__

**The union of two sets, denoted by A∪B, is a new set that contains all the distinct elements that are in either set A or set B, or in both.**

**Formally, for two sets A and B, the union is defined as:**

**A∪B = {x : x ∈ A or x ∈ B}**

__Example.1)__ Here's an example to illustrate:

**Let's say we have two sets:**

**A = {1, 2, 3} and B = {3, 4, 5}.**

**The union of A and B would be:**

** A∪B = {1, 2, 3, 4, 5}.**

**Notice that the element "3" is only counted once in the union, even though it appears in both sets.**

__Example.2)__ For example, let's say we have two sets:

**Set A = {1, 2, 3, 4}
Set B = {3, 4, 5, 6}**

**The union of sets A and B, denoted as A ∪ B, will be:**

**A ∪ B = {1, 2, 3, 4, 5, 6}**

**Notice that any duplicate elements are only included once in the union.**

**The union operation is commutative, which means that the order of the sets does not matter. That is, A ∪ B is the same as B ∪ A.**

**It's also possible to take the union of more than two sets. For example, the union of three sets A, B, and C would be denoted as A ∪ B ∪ C and would include all the distinct elements from these three sets.**

**Additionally, you can take the union of more than two sets. For instance, if you have three sets A, B, and C:**

**A = {1, 2, 3}, B = {3, 4, 5}, and C = {5, 6, 7}**

**Then, the union of these three sets (A ∪ B ∪ C) will contain all the distinct elements from A, B, and C.**

**A ∪ B ∪ C = {1, 2, 3, 4, 5, 6, 7}**