Unions, Intersections, and Complements

Front

What is a union in set theory?

Back

The union of two sets A and B, denoted as A ∪ B, is the set of elements that are in A, in B, or in both.

Front

What is an intersection in set theory?

Back

The intersection of two sets A and B, denoted as A ∩ B, is the set of elements that are in both A and B.

Front

What is a complement in set theory?

Back

The complement of a set A, denoted as A', is the set of all elements not in A.

Front

How do you denote the union of sets A and B?

Back

A ∪ B

Front

How do you denote the intersection of sets A and B?

Back

A ∩ B

Front

What does A ∪ B represent?

Back

A ∪ B represents all elements that are in A, in B, or in both.

Front

What does A ∩ B represent?

Back

A ∩ B represents all elements that are common to both 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}.

Front

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

Back

A ∩ B = {2, 3}.

Front

If A = {1, 2, 3}, what is A'?

Back

A' is the set of all elements not in A, depending on the universal set.