CYU 4.4 Set Builder and Interval Notation

Front

What is interval notation?

Back

Interval notation is a way of representing a range of numbers using parentheses and brackets. Parentheses ( ) indicate that the endpoint is not included, while brackets [ ] indicate that the endpoint is included.

Front

What does the notation (a, b) represent in interval notation?

Back

The notation (a, b) represents all numbers greater than 'a' and less than 'b', excluding 'a' and 'b'.

Front

What does the notation [a, b) represent in interval notation?

Back

The notation [a, b) represents all numbers greater than or equal to 'a' and less than 'b', including 'a' but excluding 'b'.

Front

What does the notation (a, b] represent in interval notation?

Back

The notation (a, b] represents all numbers greater than 'a' and less than or equal to 'b', excluding 'a' but including 'b'.

Front

What does the notation [a, b] represent in interval notation?

Back

The notation [a, b] represents all numbers greater than or equal to 'a' and less than or equal to 'b', including both endpoints 'a' and 'b'.

Front

How do you express the inequality x > 5 in interval notation?

Back

In interval notation, x > 5 is expressed as (5, ∞).

Front

How do you express the inequality x ≤ 3 in interval notation?

Back

In interval notation, x ≤ 3 is expressed as (-∞, 3].

Front

What is set builder notation?

Back

Set builder notation is a shorthand used to describe a set by stating the properties that its members must satisfy.

Front

How do you express the interval (2, 6] in set builder notation?

Back

In set builder notation, (2, 6] is expressed as {x | 2 < x ≤ 6}.

Front

What does the notation (10, ∞) mean?

Back

The notation (10, ∞) means all numbers greater than 10, not including 10.