Understanding Sets and Venn Diagrams

The video tutorial explains how to determine the number of elements in set B using set theory concepts. It begins by introducing the universal set and sets A and B, along with their cardinalities and intersections. The tutorial then uses a Venn diagram to visualize the relationships between the sets. By applying set theory principles, the tutorial calculates the number of elements in set B and concludes with a summary of the findings.

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

• 11

• 96

• 37

• 56

How many elements are there in the union of sets A and B?

• 11

• 96

• 56

• 37

What is the number of elements common to both sets A and B?

• 11

• 26

• 37

• 19

How many elements are only in set A?

• 37

• 19

• 26

• 11

What is the total number of elements in set B?

• 11

• 26

• 30

• 19

How do you calculate the number of elements only in set B?

• Subtract elements in A from the universal set

• Add elements in A and intersection

• Subtract elements in A and intersection from the union

• Subtract elements in intersection from A

How many elements are not in either set A or set B?

• 40

• 56

• 19

• 11

What is the cardinality of the intersection of sets A and B?

• 11

• 26

• 19

• 37

What is the final number of elements in set B?

• 11

• 26

• 30

• 19

What is the purpose of using a Venn diagram in this context?

• To find the elements not in any set

• To determine the number of elements in the intersection

• To visualize the relationships between sets

• To calculate the universal set