Venn Diagrams and sets

Front

What is a Venn Diagram?

Back

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

Front

What does the symbol A' represent in set theory?

Back

A' represents the complement of set A, which includes all elements not in set A.

Front

What does the intersection of two sets A and B (A ∩ B) represent?

Back

The intersection A ∩ B represents the set of elements that are common to both sets A and B.

Front

What does the union of two sets A and B (A ∪ B) represent?

Back

The union A ∪ B represents the set of all elements that are in either set A, set B, or in both.

Front

What is the complement of a set?

Back

The complement of a set includes all elements in the universal set that are not in the specified set.

Front

Identify the shaded area in a Venn Diagram representing A' ∩ B.

Back

The shaded area represents elements that are in set B but not in set A.

Front

Identify the shaded area in a Venn Diagram representing A ∩ B'.

Back

The shaded area represents elements that are in set A but not in set B.

Front

Identify the shaded area in a Venn Diagram representing A' ∩ B'.

Back

The shaded area represents elements that are neither in set A nor in set B.

Front

What is the relationship between A ∪ B and A ∩ B?

Back

A ∪ B includes all elements from both sets, while A ∩ B includes only the elements that are in both sets.

Front

How do you denote the complement of set B?

Back

The complement of set B is denoted as B'.