# 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 50E
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 <x<1 .

### Explanation of Solution

Given information:

An interval is given as

(,1)

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.

(,1)

Let us consider a variable x o express the inequality.

So, the interval can be expressed as an inequality as <x<1 .

Graph:

Now, graph the interval on number line as shown:

Here, and1 both the points are excluded from the interval, the interval start from and goes up to 1 so, open ball is placed for 1 on the number line.

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