Chapter 1.1: Interval Notations

These flashcards cover the key concepts of interval notations, including how to interpret open and closed circles, various notations for intervals, and their relation to inequalities.

What does the open circle represent in interval notations?

It indicates that the endpoint is not included.

What does a closed circle mean in interval notations?

It indicates that the endpoint is included.

What is the notation for an interval that includes the endpoint 1 but not 5?

The notation is [1, 5) or (1, 5].

How is an interval denoted when both endpoints are included?

It is denoted with square brackets, for example, [a, b].

In the inequality -1.5 ≤ x ≤ 3.7, how are the endpoints represented in interval notation?

It is represented as [-1.5, 3.7].

What does the interval notation (2, ∞) signify?

It signifies all numbers greater than 2, but not including 2.

What does the notation (-∞, -5] represent?

It represents all numbers less than or equal to -5.

What does a square bracket in interval notation indicate?

It indicates that the endpoint is included in the interval.

What is the meaning of the round parentheses in interval notation?

They indicate that the endpoints are not included.