Math Problem Statement

Given the sets A = {2, 3, 4} and B = {3, 4, 5}, find the union of A and B (A ∪ B).

Solution

The image contains the following sets and a question related to set operations:

  1. A={2,3,4}A = \{2, 3, 4\}
  2. B={3,4,5}B = \{3, 4, 5\}

The question appears to ask for ABA \cup B, the union of sets AA and BB.

Solution:

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

  1. Elements in AA are: 2, 3, 4.
  2. Elements in BB are: 3, 4, 5.

Combining all unique elements from both sets, we get: AB={2,3,4,5}A \cup B = \{2, 3, 4, 5\}

Answer:

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

Would you like more details or have any questions?

Here are some related questions:

  1. How do you find the intersection of two sets?
  2. What is the difference between the union and intersection of sets?
  3. Can you explain the concept of the complement of a set?
  4. How do you calculate the difference between two sets (e.g., ABA - B)?
  5. How does the symmetric difference of two sets differ from their union?

Tip: When finding the union of two sets, remember to include only unique elements without repeating any duplicates.

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Math Problem Analysis

Mathematical Concepts

Set Theory
Union of Sets

Formulas

A ∪ B = {x | x ∈ A or x ∈ B}

Theorems

Union of Sets Property

Suitable Grade Level

Grades 6-8