Questions and Answers
Which operation is represented by the shaded region in a Venn diagram?
Union
What is the intersection of two sets A and B?
The set of elements in both A and B
When are two sets called disjoint?
When they have no elements in common
What is the union of two sets A and B?
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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.