Math Problem Statement
n(A∪B)
Solution
To find the number of elements in the union of sets and , denoted as , we count all the unique elements within both sets and without double-counting those that appear in the intersection.
Elements in (from the diagram):
- 9, 15, , , 5,
Elements in (from the diagram):
- , 31, 12, , 5,
Union of and (combine all unique elements):
Now, let's count these unique elements:
This gives us a total of 10 elements.
Thus, .
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Further Questions:
- What is , the number of elements in the intersection of and ?
- How would you calculate and individually?
- What is the number of elements in the set difference ?
- What are the elements in the symmetric difference ?
- How many elements are there in the universal set ?
Tip: When working with unions and intersections, always pay attention to overlapping elements to avoid double-counting.
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Math Problem Analysis
Mathematical Concepts
Set Theory
Union of Sets
Intersection of Sets
Set Difference
Symmetric Difference
Universal Set
Formulas
-
Theorems
-
Suitable Grade Level
Grades 9-12
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