Understanding Set Intersections and Cardinality

The video tutorial explains how to determine a set C with the greatest possible cardinality, given two sets A and B. Set A includes natural numbers from 7 to 28, while set B includes numbers greater than 20 and less than 35. The tutorial demonstrates that set C is the intersection of sets A and B, containing numbers from 21 to 28, and calculates its cardinality as 8.

What is the main task described in the introduction of the problem?

• To find the union of sets A and B

• To calculate the sum of elements in set B

• To determine set C with the greatest possible cardinality

• To list all elements of set A

Which of the following numbers is included in set A?

• 5

• 15

• 28

• 35

What is the range of numbers included in set B?

• 20 to 35

• 21 to 34

• 22 to 33

• 23 to 32

What operation is used to find set C?

• Union

• Difference

• Intersection

• Complement

Which of the following elements is NOT in the intersection of sets A and B?

• 28

• 21

• 19

• 25

How many elements are there in set C?

• 9

• 7

• 6

• 8

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

• It contains all elements of set A

• It contains all elements of set B

• It is the smallest set that is a subset of both A and B

• It is the largest set that is a subset of both A and B

If a subset of set C is taken, what happens to its cardinality?

• It remains the same

• It becomes zero

• It decreases

• It increases

Which statement is true about the elements of set C?

• They are only in set A

• They are only in set B

• They are in both sets A and B

• They are in neither set A nor B

What is the final cardinality of set C as concluded in the video?

• 9

• 6

• 7

• 8