Understanding Cardinality in Venn Diagrams

This video tutorial explains the concept of cardinality in set theory using Venn diagrams. It covers the cardinality of individual sets, the universal set, the union of sets, and the complement of sets. The tutorial also discusses the intersection of complements, providing calculations and examples for each concept.

What is the cardinality of a set?

• The number of unions in a set

• The number of subsets in a set

• The number of intersections in a set

• The number of elements in a set

How many elements are only in Set A?

• 30

• 42

• 72

• 18

What is the total number of elements in the universal set?

• 110

• 128

• 60

• 72

How do you calculate the cardinality of A union B?

• Add elements only in A and B

• Subtract elements in A from B

• Add elements in A, B, and both

• Multiply elements in A and B

What is the significance of the universal set in a Venn diagram?

• It contains no elements

• It contains all elements under consideration

• It contains only elements in B

• It contains only elements in A

What is the cardinality of B complement?

• 38

• 60

• 110

• 128

Which elements are included in B complement?

• Elements in both A and B

• Elements not in B

• Elements only in A

• Elements only in B

Which operation would you use to find elements not in a specific set?

• Subset

• Intersection

• Union

• Complement

What does A complement intersect B represent?

• Elements in neither A nor B

• Elements not in B and in A

• Elements not in A and in B

• Elements in A and B

How many elements are in A complement intersect B?

• 72

• 38

• 60

• 42