Understanding Set Cardinality

The video tutorial explains the concepts of set cardinality, focusing on sets A and B with cardinalities of 12 and 9, respectively. It explores the largest and smallest possible values for the cardinality of A union B and A intersect B, using scenarios where sets are disjoint or one is a subset of the other. The tutorial uses Venn diagrams to illustrate these concepts and provides calculations for different scenarios.

What is the cardinality of set A?

• 21

• 0

• 12

• 9

What is the largest possible value for the cardinality of A intersect B?

• 21

• 9

• 12

• 0

When do two sets have a cardinality of intersection equal to zero?

• When they are disjoint

• When they have the same number of elements

• When one is a subset of the other

• When they are equal

What is the greatest possible value for the cardinality of A union B?

• 21

• 12

• 20

• 9

If sets A and B share one common element, what is the cardinality of A union B?

• 18

• 19

• 21

• 20

What happens to the cardinality of A union B if A and B are disjoint?

• It is the sum of their cardinalities

• It is zero

• It is the difference of their cardinalities

• It is the product of their cardinalities

What is the cardinality of A union B if A and B are disjoint?

• 0

• 9

• 21

• 12

What is the smallest possible value for the cardinality of A union B when B is a subset of A?

• 9

• 12

• 0

• 21

When B is a subset of A, what is the cardinality of A union B?

• Equal to the cardinality of A

• Equal to the sum of their cardinalities

• Equal to the cardinality of B

• Equal to zero

How many elements are in A or in B when B is a subset of A?

• 9

• 12

• 0

• 21