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 48E
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 6x12 .

Explanation of Solution

Given information:

An interval is given as

[6,12]

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.

[6,12]

Let us consider a variable x o express the inequality.

So, the interval can be expressed as an inequality as 6x12 .

Graph:

Now, graph the interval on number line as shown:

Here, 6,12 both are included to the interval so, closed ball is place for 6,12 on the number line.

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