Set Operations and Venn Diagram

Front

What is a set?

Back

A set is a collection of distinct objects, considered as an object in its own right. For example, A = {1, 2, 3} is a set.

Front

What does the symbol ∪ represent in set theory?

Back

The symbol ∪ represents the union of two sets, which is the set of elements that are in either set or in both.

Front

What does the symbol ∩ represent in set theory?

Back

The symbol ∩ represents the intersection of two sets, which is the set of elements that are common to both sets.

Front

What is the complement of a set A, denoted as A'?

Back

The complement of a set A consists of all the elements in the universal set U that are not in A.

Front

If U = {1, 2, 3, 4, 5, 6, 7, 8, 9} and A = {2, 3, 5, 7}, what is A'?

Back

A' = {1, 4, 6, 8, 9}

Front

What is a Venn diagram?

Back

A Venn diagram is a visual representation of sets and their relationships, using circles to represent each set.

Front

What does it mean if A ∩ B = ⊘?

Back

It means that sets A and B have no elements in common; they are disjoint sets.

Front

How do you find the union of three sets A, B, and C?

Back

The union of three sets A, B, and C is found by combining all the unique elements from each set: A ∪ B ∪ C.

Front

If A = {1, 2, 3} and B = {3, 4, 5}, what is A ∪ B?

Back

A ∪ B = {1, 2, 3, 4, 5}

Front

If A = {1, 2, 3} and B = {3, 4, 5}, what is A ∩ B?

Back

A ∩ B = {3}