# To express: the given interval in terms of an inequality and then graph the interval.

### 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 46E
To determine

## To express: the given interval in terms of an inequality and then graph the interval.

Expert Solution

In terms of inequality the interval can be expressed as 2<x8 .

### Explanation of Solution

Given information:

An interval is given as

(2,8]

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 .

Calculation:

Consider the given interval.

(2,8]

Let us consider a variable x o express the inequality.

So, the interval can be expressed as an inequality as 2<x8 .

Graph:

Now, graph the interval on number line as shown:

Here, 2 is excluded from the interval and 8 is included to the interval so, open ballis placed for 2 and closed ball is place for 8 on the number line.

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