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# Set operations

We can perform the following operations on sets:

• Union: Given two sets, this returns a new set with elements from both the given sets
• Intersection: Given two sets, this returns a new set with the elements that exist in both sets
• Difference: Given two sets, this returns a new set with all the elements that exist in the first set and do not exist in the second set
• Subset: This confirms whether a given set is a subset of another set

## Set union

The mathematic concept of union is: the union of sets A and B, denoted by:

This set is defined as:

This means that x (the element) exists in A or x exists in B. The following diagram exemplifies the ...

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