Unions and intersections of sets

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 containing the numbers 1, 2, and 3.

Front

What does the union of two sets represent?

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 does the intersection of two sets represent?

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

What is the complement of a set?

Back

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

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 is the universal set?

Back

The universal set is the set that contains all possible elements for a particular discussion or problem.

Front

How do you denote the complement of a set A?

Back

The complement of a set A is denoted as A' or sometimes as A^c.

Tags

CCSS.HSS.CP.A.1

Front

If U = {1, 2, 3, 4, 5} and A = {2, 4}, what is the complement of A?

Back

The complement of A is A' = {1, 3, 5}.

Front

What is a Venn diagram?

Back

A Venn diagram is a visual representation of sets and their relationships, showing unions, intersections, and complements.