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 of numbers.

Front

What is the union of two sets A and B?

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 the intersection of two sets A and B?

Back

The intersection of two sets A and B, denoted as A ∩ B, is the set of 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

What does A ⊂ B mean?

Back

A ⊂ B means that set A is a subset of set B, meaning all elements of A are also in B.

Front

What does A ⊄ B mean?

Back

A ⊄ B means that set A is not a subset of set B, meaning there is at least one element in A that is not in B.

Front

If A = {1, 3, 5} and B = {2, 4, 6}, what is A ∩ B?

Back

A ∩ B = {} (the empty set).

Front

What is the symbol for the empty set?

Back

The empty set is denoted by the symbol ∅.

Front

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

Back

A ∩ B = {1, 2, 3}.