What is a Venn diagram?
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What is a Venn diagram?
A Venn diagram is a way to illustrate all the elements within sets and any intersections.
Define the term set.
A set is a collection of elements.
What symbol is the empty set represented by?
∅ represents the empty set (the set with no elements).
Define the term subset.
A subset is a set within another set, i.e. every element of set A is also in set B, A ⊆ B.
How is the number of elements in a set A represented?
n(A) represents the number of elements in set A.
Define the term union.
The union of a group of sets is all of the elements in all of the sets in that group.
For example, the union of set A and set B, A ∪ B, is all elements in A or B or both.
Which region represents A' on a Venn diagram?
A' means not A.
The regions not in the A circle (everything outside A) represent A'.
Define the term intersection.
The intersection of two or more sets is the group of elements that appear in all of the sets specified.
For example, the intersection of set A and set B, A ∩ B, is all of the elements in both A and B.
How are the elements of a set represented?
The elements are written inside curly brackets {}, e.g. A = {1, 2, 3}.
True or False?
The universal set is represented by the rectangle in a Venn diagram.
True.
The universal set is represented by the rectangle in a Venn diagram.
Define ℰ.
ℰ is the universal set (the set of everything).
What does a ∈ A mean?
a ∈ A means a is an element of A (a is in the set A, or a is a member of the set A).
True or False?
A Venn diagram can only represent two sets at a time.
False.
A Venn diagram can represent more than two sets using multiple overlapping circles.