Math Problem Statement

Даны множества: U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 4, 6, 8}, B = {2, 3, 4, 5}. Укажите результат операции A ∪ B.

Solution

The problem asks for the result of the union ABA \cup B, where:

  • U={0,1,2,3,4,5,6,7,8,9}U = \{0, 1, 2, 3, 4, 5, 6, 7, 8, 9\}
  • A={2,4,6,8}A = \{2, 4, 6, 8\}
  • B={2,3,4,5}B = \{2, 3, 4, 5\}

Union Operation (ABA \cup B)

The union of two sets includes all unique elements present in either set. Therefore: AB={2,4,6,8}{2,3,4,5}A \cup B = \{2, 4, 6, 8\} \cup \{2, 3, 4, 5\}

Combine all elements and remove duplicates: AB={2,3,4,5,6,8}A \cup B = \{2, 3, 4, 5, 6, 8\}

Answer Format

Write the elements in ascending order without spaces or commas: Answer: 234568\text{Answer: } 234568

Would you like further details or explanations?

Related Questions:

  1. What is the intersection (ABA \cap B) of the sets AA and BB?
  2. What is the complement of ABA \cup B relative to UU?
  3. Find ACA \cap C where C={1,3,5,7,9}C = \{1, 3, 5, 7, 9\}.
  4. Compute the symmetric difference (AΔBA \Delta B).
  5. What is the union of BCB \cup C?

Tip:

Always sort the final result of set operations if the problem requires elements in ascending order.

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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 includes all unique elements from both sets

Suitable Grade Level

Grades 6-8