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}, C = {1; 3; 5; 7; 9}. Укажите результат операции A ∪ B. В ответе укажите эти числа без пробелов и запятых в порядке возрастания. Если множество пустое, укажите цифру 0.
Solution
We are tasked with finding the union of sets and , denoted as . Let’s proceed step by step:
Given Sets:
Definition of Union ():
The union of two sets includes all distinct elements from both sets.
Step 1: Combine Elements of and
Combine all elements:
Step 2: Remove Duplicates and Arrange in Ascending Order
The combined elements are:
Now, sorting them in ascending order:
Final Answer (as requested, without spaces or commas):
234568
Do you want me to explain any step in more detail or perform other operations with these sets?
Related Questions:
- What is the intersection of and ()?
- How do we find the union using the given sets?
- What is the difference ?
- What is the complement of in the universal set ?
- How would the union of all three sets look?
Tip:
When working with unions, always combine all elements first and then remove duplicates for a clear and sorted result.
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Math Problem Analysis
Mathematical Concepts
Set Theory
Union of Sets
Sorting in Ascending Order
Formulas
Union of Sets: A ∪ B = {x | x ∈ A or x ∈ B}
Theorems
Union of sets property: All distinct elements of both sets are combined.
Suitable Grade Level
Grades 6-8