Venn Diagrams Review

Front

What is a Venn diagram?

Back

A Venn diagram is a visual representation of the relationships between different sets, often using overlapping circles to show commonalities and differences.

Front

What does the union of two sets (A ∪ B) represent in a Venn diagram?

Back

The union of two sets A and B represents all elements that are in A, in B, or in both.

Front

What does the intersection of two sets (A ∩ B) represent in a Venn diagram?

Back

The intersection of two sets A and B represents all elements that are common to both A and B.

Front

What does the complement of a set (~C) represent?

Back

The complement of a set C represents all elements that are not in set C.

Front

How do you denote the number of elements in a set?

Back

The number of elements in a set is denoted by |A|, where A is the set.

Front

What does the shaded region in a Venn diagram typically represent?

Back

The shaded region in a Venn diagram typically represents a specific subset of the universal set, defined by the conditions given in the problem.

Front

If A = {1, 2, 3} and B = {2, 3, 4}, what is A ∩ B?

Back

A ∩ B = {2, 3}, which are the elements common to both sets A and B.

Front

If A = {1, 2, 3} and B = {2, 3, 4}, what is A ∪ B?

Back

A ∪ B = {1, 2, 3, 4}, which includes all elements from both sets A and B.

Front

How can you find the number of elements in the union of two sets?

Back

To find the number of elements in the union of two sets A and B, use the formula |A ∪ B| = |A| + |B| - |A ∩ B|.

Front

What does the notation B ∩ ~C mean?

Back

The notation B ∩ ~C represents the elements that are in set B but not in set C.