Sets with Union, Intersection

Front

Define 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 containing the numbers 1, 2, and 3.

Front

What is the union of two sets?

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. For example, if A = {1, 2} and B = {2, 3}, then A ∪ B = {1, 2, 3}.

Front

What is the intersection of two sets?

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. For example, if A = {1, 2, 3} and B = {2, 3, 4}, then A ∩ B = {2, 3}.

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

What does A ⊂ B mean?

Back

A ⊂ B means that set A is a subset of set B, meaning every element of A is also an element of B.

Front

What is the complement of a set A?

Back

The complement of a set A, denoted as A', is the set of all elements not in A, relative to a universal set U. For example, if U = {1, 2, 3, 4, 5} and A = {1, 2}, then A' = {3, 4, 5}.

Front

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

Back

The union of three sets A, B, and C is represented as A ∪ B ∪ C, which includes all elements that are in A, B, or C.

Front

What is the Venn diagram used for?

Back

A Venn diagram is a visual representation of the relationships between different sets, showing their unions, intersections, and differences.

Front

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

Back

A ∪ B = {1, 2, 3, 4, 5}.