Book edition 7th Edition

Author(s) James Stewart, Lothar Redlin, Saleem Watson

Pages 948 pages

ISBN 9781337067508

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Short Answer

Graph the set
$[- 4, 6) \cup [0, 8)$

The graph of the given set is,

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Apply the concept of interval and number line.

If $a < b$ , then the open interval from a to b consists of all numbers between a and b and is denoted by $(a, b)$ . The closed interval from a to b includes the endpoints and is denoted by $[a, b]$ . If points are included in the interval, they are represented by dark circles and if the points are not included in the interval, they are represented by hollow circles on the number line.

Using the set-builder form, we can write the intervals as inequality: $(a, b) = \{x | a < x < b\} [a, b] = \{x | a \leq x \leq b\}$

Step 2. Apply the concept of the union of sets.

If S and T are set, then their union $S \cup T$ is the set that consists of all elements that are in S or T (or in both).

Step 3. Find the union.

$\begin{array}{l} [- 4, 6) \cup [0, 8) \\ = \{x | - 4 \leq x < 6\} \cup \{x | 0 \leq x < 8\} \\ = {x | - 4 \leq x < 6 or 0 \leq x < 8} \\ = {x | - 4 \leq x < 8} \\ = [- 4, 8) \end{array}$

Step 4. Graph the intervals.

We will graph all three intervals:

$[- 4, 6)$

It includes all the numbers between -4 and 6, including -4.

$[0, 8)$

It includes all the numbers between 0 and 8, including 0.

$[- 4, 6) \cup [0, 8) = [- 4, 8)$

It includes all the numbers between -4 and 8, including -4.

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Precalculus Mathematics for Calculus

Answers without the blur.

Short Answer

Graph the set
$[- 4, 6) \cup [0, 8)$

Step by Step Solution

Step 1. Apply the concept of interval and number line.

Step 2. Apply the concept of the union of sets.

Step 3. Find the union.

Step 4. Graph the intervals.

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Precalculus Mathematics for Calculus

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Short Answer

Graph the set-4,6∪0,8

Step by Step Solution

Step 1. Apply the concept of interval and number line.

Step 2. Apply the concept of the union of sets.

Step 3. Find the union.

Step 4. Graph the intervals.

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Graph the set
$[- 4, 6) \cup [0, 8)$