Math Problem Statement
Solution
The Venn diagram shows two sets, and , with elements distributed across four regions:
- Region I: Elements in set only = 29
- Region II: Elements in both set and set (intersection) = 15
- Region III: Elements in set only = 6
- Region IV: Elements outside both sets and (the universal set but not in or ) = 26
The problem asks how many elements belong to both set and set . This refers to the number of elements in the intersection of and , which is located in Region II of the Venn diagram.
Thus, the number of elements in both and is:
Would you like more details or have any other questions?
Here are 5 related questions to expand your understanding:
- How would you find the total number of elements in set ?
- How would you calculate the total number of elements in set ?
- What is the total number of elements in the universal set ?
- How would you find the number of elements that are either in set or set ?
- What is the difference between the union and intersection of two sets?
Tip: When working with Venn diagrams, remember that the intersection represents elements common to both sets, while the union covers all elements from both sets.
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Math Problem Analysis
Mathematical Concepts
Set Theory
Venn Diagram
Union and Intersection
Formulas
Union of sets A and B: |A ∪ B| = |A| + |B| - |A ∩ B|
Theorems
Principle of Inclusion-Exclusion
Suitable Grade Level
Grades 6-8
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