Understanding Sets and Venn Diagrams

The video tutorial explains the concept of universal sets and subsets, focusing on sets A and B. It covers the cardinality of these sets and their union, using a Venn diagram to illustrate the intersection. The tutorial calculates the number of elements in set B but not in set A and determines the elements in the universal set that are not in either subset. The final answer to the problem is provided, with a clear explanation of the steps involved.

How many elements are there in the universal set S?

• 35

• 127

• 93

• 176

What is the cardinality of set A?

• 127

• 176

• 35

• 93

What is the cardinality of set B?

• 93

• 176

• 35

• 127

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

• 35

• 127

• 93

• 176

Which formula is used to find the intersection of sets A and B?

• Cardinality of A + Cardinality of B - Cardinality of A union B

• Cardinality of A - Cardinality of B

• Cardinality of A + Cardinality of B

• Cardinality of A union B - Cardinality of A

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

• 1

• 127

• 34

• 92

How many elements are only in set A?

• 92

• 34

• 127

• 1

How many elements are only in set B?

• 1

• 127

• 34

• 92

What is the total number of elements in the universal set that are not in set A or set B?

• 127

• 49

• 34

• 92

How many elements are in set B but not in set A?

• 1

• 34

• 92

• 127