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Questions and Answers
Which operation is represented by the shaded region in a Venn diagram?
Which operation is represented by the shaded region in a Venn diagram?
- Intersection
- Difference
- Union (correct)
- Symmetric difference
What is the intersection of two sets A and B?
What is the intersection of two sets A and B?
- The set of elements in both A and B (correct)
- The set of elements in A but not in B
- The set of elements in B but not in A
- The set of elements not in either A or B
When are two sets called disjoint?
When are two sets called disjoint?
- When they have some elements in common
- When they have only one element in common
- When they have no elements in common (correct)
- When they have all elements in common
What is the union of two sets A and B?
What is the union of two sets A and B?
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What does a rectangle represent in a Venn diagram?
What does a rectangle represent in a Venn diagram?
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Study Notes
Operations in Venn Diagrams
- The shaded region in a Venn diagram represents the intersection of two sets.
Set Operations
- The intersection of two sets A and B is the set of elements common to both sets, denoted as A ∩ B.
- Two sets are called disjoint if they have no elements in common, i.e., their intersection is the empty set.
Union of Sets
- The union of two sets A and B is the set of all elements in either A or B or both, denoted as A ∪ B.
Venn Diagram Representations
- A rectangle in a Venn diagram represents the universal set, which contains all the elements under consideration.
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