Math Problem Statement
If A = {7, 8} and B = {2, 4, 6}
Solution
It seems like you are defining two sets, and , but there is no specific question attached. Let's explore a few operations that can be performed with these sets:
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Union: The union of sets and is the set of all elements that are in , in , or in both.
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Intersection: The intersection of sets and is the set of elements that are in both and . Since there are no common elements:
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Difference: The difference (elements in but not in ) is: And the difference (elements in but not in ) is:
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Cartesian Product: The Cartesian product is the set of all ordered pairs where the first element is from and the second is from :
Let me know if you have any specific operations or questions related to these sets, or if you'd like further details.
Relative Questions:
- What is the union of two sets and how is it useful in set theory?
- How can we find the Cartesian product of sets, and what are its applications?
- What is the difference between set intersection and set union?
- How do you interpret an empty set result in an intersection?
- How does the difference operation work between two sets?
Tip: When working with sets, remember that the order of elements in the set does not matter, but each element must be unique.
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Math Problem Analysis
Mathematical Concepts
Set Theory
Set Operations
Formulas
Union: A ∪ B = {2, 4, 6, 7, 8}
Intersection: A ∩ B = ∅
Difference: A - B = {7, 8}, B - A = {2, 4, 6}
Cartesian Product: A × B = {(7, 2), (7, 4), (7, 6), (8, 2), (8, 4), (8, 6)}
Theorems
Basic Set Theory Theorems
Suitable Grade Level
Grades 8-10
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