Understanding the Union of Subsets

This video tutorial teaches how to identify the union of two subsets using Venn diagrams and two-way frequency tables. It begins with a review of intersection and union concepts, using numbers 1 to 10 as a universal set. The tutorial explains the notation and logic behind these concepts, emphasizing the importance of not duplicating shared values. It then applies these concepts to a practical problem involving students in algebra and biology classes, demonstrating how to calculate the union using both Venn diagrams and frequency tables.

What is the intersection of two sets?

• The set of elements that are in either set

• The set of all possible elements

• The set of elements that are in both sets

• The set of elements that are in neither set

Which symbol is used to denote the union of two sets?

• An upside-down U

• A regular U

• A minus sign

• A plus sign

In a Venn diagram, where are the elements that belong to neither set located?

• In the center of the diagram

• In the white space around the circles

• Inside the union

• Inside the intersection

How many students are taking either algebra or biology in the given problem?

• 29

• 40

• 14

• 38

What is the purpose of subtracting the number of students in both classes when calculating the union?

• To calculate the intersection

• To find the total number of students

• To account for students counted twice

• To determine the number of students in neither class

Which method can be used to fill in the rest of the table in the problem?

• Exponential calculation

• Multiplication

• Subtraction and addition

• Division

What is the final number of students in either algebra or biology after using the totals method?

• 40

• 38

• 29

• 14