4.4: Reading Interval Notation

Front

What does the interval notation (-∞, 5) represent in inequality form?

Back

x < 5

Front

What does the interval notation (-∞, -1] represent in inequality form?

Back

x ≤ -1

Front

What does the interval notation (2, ∞) represent in inequality form?

Back

x > 2

Front

What does the interval notation [3, ∞) represent in inequality form?

Back

x ≥ 3

Front

What is the meaning of an open interval in interval notation?

Back

An open interval does not include its endpoints.

Front

What is the meaning of a closed interval in interval notation?

Back

A closed interval includes its endpoints.

Front

Translate the interval notation (a, b) to an inequality.

Back

a < x < b

Front

Translate the interval notation [a, b] to an inequality.

Back

a ≤ x ≤ b

Front

Translate the interval notation (a, ∞) to an inequality.

Back

x > a

Front

Translate the interval notation [-∞, b) to an inequality.

Back

x < b