Question

Graph the set. (GRAPH CANNOT COPY) $$[-1,3)$$

   Graph the set.
(GRAPH CANNOT COPY)
$$[-1,3)$$

Prealgebra and Introductory Algebra

Prealgebra and Introductory Algebra

Richard N. Aufmann,… 3rd Edition

Chapter 14, Problem 51

Instant Answer

Solved by Expert James Kiss

06/24/2020

Step 1

The number line is a straight, horizontal line with numbers placed at equal distances on it. Show more…

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Graph the set. (GRAPH CANNOT COPY) $$[-1,3)$$

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Key Concepts

Graphing on a Number Line

Graphing intervals on a number line involves plotting the endpoint values and marking them appropriately—a filled or solid dot for closed endpoints and an open circle for open endpoints. The segment between these points is then shaded or highlighted to indicate that all the numbers in that range belong to the set.

Interval Notation

Interval notation is a concise method to describe subsets of the real numbers by specifying their endpoints and indicating whether these endpoints are included in the set. It uses brackets [ ] to denote that an endpoint is included and parentheses ( ) to indicate that an endpoint is excluded.

Closed and Open Endpoints

A closed endpoint, represented by a square bracket, signifies that the corresponding endpoint is part of the set, while an open endpoint, shown with a parenthesis, indicates that the corresponding endpoint is not part of the set. Recognizing this difference is crucial when interpreting or graphing an interval.

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