Sets - Venn Diagrams Flashcard 2

Front

What is a set in mathematics?

Back

A set is a collection of distinct objects, considered as an object in its own right.

Front

Define a Venn diagram.

Back

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

Front

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

Back

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

Front

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

Back

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

Front

What does the complement of a set (A') represent?

Back

The complement of a set A consists of all elements not in A.

Front

How do you calculate the number of elements in the union of two sets?

Back

The number of elements in the union of two sets A and B is given by |A U B| = |A| + |B| - |A ∩ B|.

Front

What does (A U B)' represent in set notation?

Back

(A U B)' represents the complement of the union of sets A and B, meaning all elements not in A or B.

Front

What does (A ∩ B)' represent in set notation?

Back

(A ∩ B)' represents the complement of the intersection of sets A and B, meaning all elements not common to both A and B.

Front

How can you determine the number of students who chose only one subject using a Venn diagram?

Back

To find the number of students who chose only one subject, subtract the number of students who chose both subjects from the total number of students who chose that subject.

Front

What is the significance of shaded regions in Venn diagrams?

Back

Shaded regions in Venn diagrams indicate the specific set or sets being referred to, often representing the solution to a problem.