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In the set operations, let's calculate set difference. The difference of two set A and set B, denoted by A - B, is the set that contains exactly all elements in A but not in B.
The set operation difference between sets implies subtracting the elements from a set which is similar to the concept of the difference between numbers. The difference between sets A and B denoted as A − B lists all the elements that are in set A but not in set B. To understand this set operation of set difference better, let us consider an example: If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, then the difference between sets A and B is given by A - B = {1, 2}.
| Set Operation | Venn Diagram | Interpretation |
|---|---|---|
| Union |  | A U B, is the set of all values that are a member of A, or B, or both. |
| Intersection |  | A ∩ B, is the set of all values that are a member of both A and B. |
| Difference |  | A \ B, is the set of all values of A that are not members of B. |
| Symmetric Difference |  | A ∆ B, is the set of all values which are in one of the sets but not both. |
Union of Sets Intersection of Sets Set Difference Symetric Difference
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