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 AA and BB, where:

  • A={2,3,4}A = \{2, 3, 4\}
  • B={3,4,5}B = \{3, 4, 5\}

The union of two sets AA and BB, denoted by ABA \cup B, includes all unique elements that are in either AA or BB or both.

So,

AB={2,3,4,5}A \cup B = \{2, 3, 4, 5\}

Therefore, AB={2,3,4,5}A \cup B = \{2, 3, 4, 5\}.

Would you like more details or have any questions about this?

Here are some related questions to expand your understanding:

  1. How do we find the intersection of two sets?
  2. What is the difference between the union and intersection of sets?
  3. How do we represent the complement of a set?
  4. How can we use Venn diagrams to visualize unions and intersections?
  5. 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