Understanding Venn Diagrams and Set Cardinality

This video tutorial explains how to determine the number of elements in a set using a Venn diagram. It begins by introducing the concept of cardinality and then uses survey data to define sets of pet owners. The tutorial guides viewers through labeling a Venn diagram and calculating the number of elements in each set, including those that are only in one set. Finally, it concludes with a calculation to find how many pet owners own neither a cat nor a dog.

What is the cardinality of a set?

• The number of intersections in a Venn diagram

• The number of elements in a set

• The number of unions in a Venn diagram

• The number of subsets in a set

How many pet owners were surveyed in total?

• 15

• 74

• 26

• 109

What does the set 'D' represent in the Venn diagram?

• Neither dog nor cat owners

• Dog owners

• Both dog and cat owners

• Cat owners

How many pet owners own both a dog and a cat?

• 59

• 11

• 15

• 26

How many pet owners own only a dog?

• 59

• 74

• 15

• 26

How many pet owners own only a cat?

• 11

• 26

• 15

• 59

What is the total number of pet owners who own either a dog or a cat or both?

• 109

• 85

• 74

• 24

How many pet owners own neither a dog nor a cat?

• 11

• 24

• 59

• 15

What operation is used to find the number of pet owners who own neither a dog nor a cat?

• Division

• Addition

• Subtraction

• Multiplication

What is the final answer to the problem statement?

• 109

• 24

• 11

• 59