Math Problem Statement
Let U= {1, 2, 3, 4, 5, 6, 7}, A = {1, 2, 3, 5}, C = {3, 4, 6}. List all the members of the following:
A ∩ C =
Solution
The intersection of two sets, , includes all the elements that are present in both set and set .
Given:
The common element between these two sets is .
Thus, .
Would you like further details or have any questions?
Here are 5 related questions to further explore set theory:
- What is (the union of and )?
- What is , the complement of in ?
- How can we find , the complement of ?
- What is the result of (the difference between and )?
- How does the concept of a universal set influence set operations?
Tip: When dealing with sets, intersections focus on common elements, while unions combine all distinct elements from the sets involved.
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Math Problem Analysis
Mathematical Concepts
Set Theory
Intersection of Sets
Formulas
A ∩ C = {x | x ∈ A and x ∈ C}
Theorems
Intersection of Sets Theorem
Suitable Grade Level
Grades 6-8