Understanding Set Operations

The video tutorial explains how to find the number of elements common to two sets, A and B, using both a Venn diagram and the cardinality formula for the union of two sets. Set A contains 42 elements, set B contains 23 elements, and the total number of elements in either set is 55. The tutorial demonstrates the need to subtract the intersection of the sets to avoid double-counting, leading to the conclusion that sets A and B have 10 elements in common.

How many elements are in set A?

• 23

• 55

• 10

• 42

What is the total number of elements in the union of sets A and B?

• 42

• 65

• 23

• 55

Which formula is used to find the number of elements in the union of two sets?

• A + B

• A - B

• A + B - A ∩ B

• A ∩ B

Why do we subtract the intersection of sets A and B in the formula?

• To find the difference

• To avoid double counting

• To add more elements

• To increase the total

What is the purpose of solving the equation in this context?

• To find the union of sets

• To determine the total elements

• To find common elements

• To calculate the difference

What is the number of elements in set B?

• 55

• 10

• 23

• 42

What is the result of 42 + 23 - 55?

• 5

• 15

• 20

• 10

How many elements do sets A and B have in common?

• 10

• 42

• 55

• 23

What is the significance of the number 10 in this problem?

• It is the number of common elements

• It is the total number of elements

• It is the number of elements in set A

• It is the number of elements in set B

What does the intersection of two sets represent?

• Elements only in set A

• Elements common to both sets

• Elements in neither set

• Elements only in set B