Understanding Sets and Cardinality

The video tutorial explains the concept of sets, focusing on a universal set S containing integers from 1 to 20, and its subsets A and B. It covers the calculation of cardinalities for set A, set B, A complement, A intersect B, and A union B. The tutorial provides step-by-step instructions on how to determine these cardinalities, emphasizing the importance of understanding set operations such as intersection and union.

What is the universal set S composed of?

• Integers from 1 to 40

• Integers from 1 to 20

• Integers from 1 to 10

• Integers from 1 to 30

Which elements are included in set A?

• 1, 2, 3, 4, 5, 6, 7, 8

• 3, 8, 17

• 2, 3, 5, 6, 7, 8, 10, 14, 16, 17, 18, 20

• 1, 3, 8, 9, 11, 12, 13, 17

How many elements are in set A?

• 9

• 7

• 6

• 8

What is the cardinality of the complement of set A?

• 14

• 8

• 10

• 12

How many elements are in set B?

• 10

• 11

• 12

• 13

Which elements are common to both sets A and B?

• 2, 3, 5

• 3, 8, 17

• 8, 9, 10

• 1, 3, 8

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

• 2

• 3

• 4

• 5

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

• 16

• 15

• 18

• 17

Which of the following elements is not in the union of sets A and B?

• 16

• 17

• 20

• 19

How many elements are in the universal set S?

• 21

• 20

• 19

• 18