Sets - Venn Diagrams Flashcard 1

Front

What is a Venn Diagram?

Back

A Venn Diagram is a visual representation of the relationships between different sets, using overlapping circles to show commonalities and differences.

Front

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

Back

The number of elements in the union of two sets A and B is calculated using the formula: |A ∪ B| = |A| + |B| - |A ∩ B|.

Front

What does the intersection of two sets A and C represent?

Back

The intersection of two sets A and C, denoted as A ∩ C, represents the elements that are common to both sets.

Front

What does the complement of a set A represent?

Back

The complement of a set A, denoted as A′, represents all the elements not in set A.

Front

If 25 students like tea and 20 like coffee, how many like both if 10 students like both?

Back

10 students like both tea and coffee.

Front

How do you find the number of students who do not like either tea or coffee?

Back

To find the number of students who do not like either, use the formula: Total students - (students who like tea + students who like coffee - students who like both).

Front

What is the formula to find the number of elements in the intersection of two sets?

Back

The formula is |A ∩ B| = |A| + |B| - |A ∪ B|.

Front

How many students like only coffee if 20 like coffee and 10 like both tea and coffee?

Back

10 students like only coffee (20 - 10 = 10).

Front

What does the notation (A ∩ C)′ mean?

Back

The notation (A ∩ C)′ represents the complement of the intersection of sets A and C, meaning all elements not in the intersection.

Front

If 40 students like Hulu and 10 like both Hulu and Netflix, how many like only Hulu?

Back

30 students like only Hulu (40 - 10 = 30).