Math Problem Statement
Use the given sets to find A ∪ B, where A = {5, 6, 7, 8, 9, 10, 11, 12, 13, 14} and B = {3, 5, 7, 9, 11, 13}.
Solution
To find the union of two sets and , you combine all the elements from both sets, ensuring that there are no duplicates.
From the image, we have:
The union contains all elements that are in either set or set , without repetition. Therefore:
Would you like any more details or further explanation?
Here are 5 related questions to extend this topic:
- What is the intersection of the sets and ?
- How do you find the difference between two sets?
- What is the complement of set if the universal set is all integers from 1 to 15?
- How does the symmetric difference work, and what would it be for these sets?
- Can you have the union of more than two sets, and how would that work?
Tip: When finding a union of sets, always remove duplicate elements to avoid repetition!
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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 Theorem
Suitable Grade Level
Grades 6-8