Understanding Sets and Venn Diagrams

The video tutorial explains how to solve a problem involving sets using a Venn diagram. It introduces the universal set S and its subsets A and B, detailing their cardinalities. The tutorial guides viewers through calculating the number of elements in A but not B by determining the intersection of A and B. It uses set notation and a formula to find the solution, concluding that there are 22 elements in A but not in B.

What is the total number of elements in the universal set S?

• 68

• 34

• 90

• 117

How many elements are in set A?

• 34

• 68

• 117

• 90

What does the overlapping region in a Venn diagram represent?

• Complement of sets

• Intersection of sets

• Difference of sets

• Union of sets

What is the cardinality of set B?

• 117

• 90

• 68

• 34

What is the cardinality of A union B?

• 68

• 34

• 90

• 117

Which formula is used to find the number of elements in A intersect B?

• n(A) + n(B) - n(A ∪ B)

• n(A) + n(B)

• n(A) - n(B)

• n(A ∪ B) - n(A ∩ B)

How many elements are in the intersection of sets A and B?

• 22

• 68

• 12

• 34

What is the number of elements in A but not in B?

• 68

• 34

• 22

• 12

How many elements are only in set A?

• 12

• 34

• 22

• 68

What is the complement of A intersect B?

• Elements in both A and B

• Elements in A but not in B

• Elements in neither A nor B

• Elements in B but not in A