Venn Diagrams

Front

What does this symbol ( ∪ ) represent in set theory?

Back

Union: The union of two sets A and B, denoted A ∪ B, is the set of elements that are in A, in B, or in both.

Front

What does this symbol ( ∩ ) represent in set theory?

Back

Intersection: The intersection of two sets A and B, denoted A ∩ B, is the set of elements that are in both A and B.

Front

Identify the shaded area if it represents A'∩B.

Back

A'∩B: The set of elements that are in set B but not in set A.

Front

Identify the shaded area if it represents A∩B'.

Back

A∩B': The set of elements that are in set A but not in set B.

Front

Identify the shaded area if it represents A∪B.

Back

A∪B: The set of elements that are in either set A, set B, or in both.

Front

Identify the shaded area if it represents A'∪B'.

Back

A'∪B': The set of elements that are neither in set A nor in set B.

Front

What is a Venn Diagram?

Back

A Venn Diagram is a visual representation of the relationships between different sets, often using overlapping circles.

Front

What does it mean for two sets to be disjoint?

Back

Two sets are disjoint if they have no elements in common, meaning their intersection is the empty set.

Front

How do you represent the complement of a set A?

Back

The complement of a set A, denoted A', is the set of all elements not in A.

Front

What is the formula for the union of two sets?

Back

The formula for the union of two sets A and B is |A ∪ B| = |A| + |B| - |A ∩ B|.