HOMEWORK #2 REVIEW OF VENN DIAGRAMS

Front

What is a Venn Diagram?

Back

A Venn Diagram is a visual representation of the relationships between different sets, showing how they overlap and interact.

Front

What does the symbol A ∩ B represent in a Venn Diagram?

Back

A ∩ B represents the intersection of sets A and B, which includes all elements that are common to both sets.

Front

What does the symbol A ∪ B represent in a Venn Diagram?

Back

A ∪ B represents the union of sets A and B, which includes all elements that are in either set A, set B, or both.

Front

What does A' represent in a Venn Diagram?

Back

A' represents the complement of set A, which includes all elements that are not in set A.

Front

What does the shaded region in a Venn Diagram typically indicate?

Back

The shaded region indicates the area of interest, often representing the union, intersection, or complement of sets.

Front

How do you calculate the number of elements in A ∪ B?

Back

To find the number of elements in A ∪ B, use the formula: |A ∪ B| = |A| + |B| - |A ∩ B|.

Front

If 115 students are taking Music or Science, what does this represent in a Venn Diagram?

Back

This represents the total number of students in the union of the Music and Science sets.

Front

How do you find the number of students taking only Music?

Back

To find the number of students taking only Music, subtract the number of students taking both Music and Science from the total number in Music.

Front

What is the significance of the intersection in a Venn Diagram?

Back

The intersection shows the common elements between two or more sets, indicating shared characteristics.

Front

If 6 people own dogs only, what does this mean in terms of set representation?

Back

This means that there are 6 elements in the set representing dog owners that do not belong to any other set.