Interval & Set Builder Notation Flashcard

Front

What is interval notation?

Back

Interval notation is a way of representing a set of numbers between two endpoints. It uses parentheses and brackets to indicate whether endpoints are included or excluded.

Front

What does the notation (a, b) represent?

Back

The notation (a, b) represents an open interval where 'a' and 'b' are not included in the set.

Front

What does the notation [a, b] represent?

Back

The notation [a, b] represents a closed interval where 'a' and 'b' are included in the set.

Front

What does the notation (a, b] represent?

Back

The notation (a, b] represents a half-open interval where 'a' is not included and 'b' is included.

Front

What does the notation [a, b) represent?

Back

The notation [a, b) represents a half-open interval where 'a' is included and 'b' is not included.

Front

How do you write the set of numbers less than or equal to 5 in set builder notation?

Back

{x | x ≤ 5}

Front

How do you write the set of numbers greater than 14 in set builder notation?

Back

{x | x > 14}

Front

What is roster form?

Back

Roster form is a way of listing all the elements of a set explicitly, such as {A, B, C, D}.

Front

How do you express the union of two sets in set builder notation?

Back

The union of two sets A and B can be expressed as {x | x ∈ A or x ∈ B}.

Front

What does the notation ∪ represent?

Back

The notation ∪ represents the union of two sets.