# To graph: the given set.

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.1, Problem 62E
To determine

## To graph: the given set.

Expert Solution

### Explanation of Solution

Given information:

An interval is given as

[4,6)[0,8)

Concept used:

An interval (a,b) in terms of an inequality can be expressed as a<x<b .

An interval [a,b] in terms of an inequality can be expressed as axb .

An interval [a,b) in terms of an inequality can be expressed as ax<b .

An interval (a,b] in terms of an inequality can be expressed as a<xb .

An interval (,b] in terms of an inequality can be expressed as xb .

An interval (,b) in terms of an inequality can be expressed as x<b .

An interval [a,) in terms of an inequality can be expressed as xa .

An interval (a,) in terms of an inequality can be expressed as x>a .

For any two or more sets, union of the sets gives the elements which are in the either one of the sets and the all elements of all sets. Common elements are considered once. Union is represented by the symbol .

Calculation:

Consider the given interval.

[4,6)[0,8)

Let us consider a variable x o express the inequality.

So, the interval can be expressed as an inequality as 4x<60x<8 .

Combining the interval will be 4x<8=[4,8)

Graph:

Now, graph the interval on number line as shown:

Here, 4 is included to the interval so, closed ball is placed for 4 on the number line.

Here, 8 is excluded from the interval so, semi closed ball is placed for 8 on the number line.

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