Math Problem Statement
Given two sets, A = {2, 3, 4} and B = {3, 4, 5}, find the union of A and B.
Solution
The problem asks to find the union of sets and , where:
The union of two sets and , denoted by , includes all unique elements that are in either or or both.
So,
Therefore, .
Would you like more details or have any questions about this?
Here are some related questions to expand your understanding:
- How do we find the intersection of two sets?
- What is the difference between the union and intersection of sets?
- How do we represent the complement of a set?
- How can we use Venn diagrams to visualize unions and intersections?
- What are subsets and supersets in set theory?
Tip: In set theory, the union of two sets combines all distinct elements from both sets without duplicates.
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Math Problem Analysis
Mathematical Concepts
Set Theory
Union of Sets
Formulas
Union of sets: A ∪ B includes all unique elements from A and B
Theorems
Union Theorem: The union of two sets contains all elements from both sets without duplicates
Suitable Grade Level
Grade 6-8