Math Problem Statement
Find the union of the following sets: {2,8,10,13} U {8,13,15}. Select the correct choice below.
Solution
To find the union of the sets and , we combine all elements from both sets, removing any duplicates.
The elements in the first set are:
.
The elements in the second set are:
.
To find the union, list all unique elements:
.
Thus, the union is .
The correct choice is option A, where you would fill in the box with the set .
Would you like further explanation?
Here are 5 questions related to set operations:
- What is the intersection of two sets?
- How is the difference between two sets calculated?
- Can the union of two disjoint sets contain any repeated elements?
- What is the complement of a set?
- How is the cardinality of a union determined?
Tip: The union of sets includes all unique elements from both sets combined, without repeating any values.
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Math Problem Analysis
Mathematical Concepts
Set Theory
Union of Sets
Formulas
Union of Sets: A U B = {x | x ∈ A or x ∈ B}
Theorems
The union of two sets contains all unique elements from both sets
Suitable Grade Level
Grades 6-8