What are set operations in mathematics?
Set operations are mathematical operations that combine or relate sets, such as union, intersection, and difference.
Can you explain the union operation with an example?
Sure! The union of two sets A and B, denoted as A ∪ B, includes all elements that are in A, in B, or in both. For example, if A = {1, 2} and B = {2, 3}, then A ∪ B = {1, 2, 3}.
What about the intersection operation?
The intersection of two sets A and B, denoted as A ∩ B, includes only the elements that are in both sets. Using the previous example, A ∩ B = {2}.
How do you find the difference between two sets?
The difference between two sets A and B, denoted as A - B, includes elements that are in A but not in B. For A = {1, 2} and B = {2, 3}, A - B = {1}.
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