Set Theory and Cardinality Concepts

The video tutorial explains the concept of cardinality, which is the number of distinct elements in a set. It introduces a formula for calculating cardinality when dealing with ordered sequential lists of integers. The tutorial provides examples with sets E, A, and B, demonstrating how to apply the formula to find the number of elements. Additionally, it covers the intersection of sets C and D, focusing on identifying common elements and calculating their cardinality.

What is the cardinality of a set?

• The sum of all elements in the set

• The number of distinct elements in the set

• The product of all elements in the set

• The average of the elements in the set

Which formula is used to find the number of integers in an ordered sequential list?

• Greatest value plus least value

• Greatest value minus least value plus one

• Greatest value minus least value

• Greatest value times least value

How many elements are in Set E, which contains the numbers 1 to 5?

• 3

• 4

• 5

• 6

Using the formula, what is the cardinality of Set A with elements from 8 to 25?

• 18

• 17

• 16

• 19

What is the cardinality of Set B, which includes integers from -5 to 18?

• 23

• 22

• 24

• 25

How many elements are there from 1 to 18 in Set B?

• 17

• 16

• 19

• 18

What is the result of 18 minus negative five plus one?

• 25

• 24

• 23

• 22

What is the greatest element in Set C?

• 20

• 19

• 18

• 21

Which of the following numbers is not a prime number in Set D?

• 7

• 2

• 4

• 5

How many elements are in the intersection of Sets C and D?

• 8

• 7

• 9

• 6