Venn Diagrams and Set Theory
Flashcard
•
Mathematics
•
KG - 12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a Venn Diagram?
Back
A Venn Diagram is a visual representation of sets and their relationships, often using overlapping circles.
2.
FLASHCARD QUESTION
Front
What does the union of two sets (A ∪ B) represent?
Back
The union of two sets A and B includes all elements that are in A, in B, or in both.
3.
FLASHCARD QUESTION
Front
What does the intersection of two sets (A ∩ B) represent?
Back
The intersection of two sets A and B includes only the elements that are in both A and B.
4.
FLASHCARD QUESTION
Front
What is the complement of a set A?
Back
The complement of set A includes all elements in the universal set U that are not in A.
5.
FLASHCARD QUESTION
Front
How do you find the number of elements in the union of two sets?
Back
Use the formula: |A ∪ B| = |A| + |B| - |A ∩ B|.
6.
FLASHCARD QUESTION
Front
What does a shaded area in a Venn Diagram indicate?
Back
The shaded area represents the elements that belong to the specified set or sets.
7.
FLASHCARD QUESTION
Front
If Set A has 10 elements and Set B has 15 elements, and they have 5 elements in common, how many elements are in A ∪ B?
Back
|A ∪ B| = 10 + 15 - 5 = 20.
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