Interpreting Venn Diagrams — On a Venn diagram of two sets, what does the overlapping area represent?

The overlapping area always represents the intersection of the two sets (A ∩ B).

Venn Diagrams

Venn diagrams are a visual tool that represents sets and their relationships using circles. They help easily understand union, intersection, difference, and complement.

$Venn diagram of two sets$

Venn diagram of two sets: the overlapping area is the intersection (A ∩ B).

Representation of Two Sets

Union (A ∪ B): all elements in both circles.
Intersection (A ∩ B): the overlapping area of the two circles.
Difference (A − B): the part of one circle that does not overlap with the other.
Complement (A'): the part of the universal set not in A.

Representation of Three Sets

For three sets, we draw three overlapping circles. The central area where all three circles overlap represents the elements common to all three sets.

$Venn diagram of three sets$

Venn diagram of three sets: the central area contains elements common to all three.

Practice Exercise

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