BuyFind

Precalculus: Mathematics for Calcu...

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

Precalculus: Mathematics for Calcu...

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

Solutions

Chapter 1.1, Problem 63E
To determine

To graph: the given set.

Expert Solution

Explanation of Solution

Given information:

An interval is given as

  (,4)(4,)

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)(4,)

Let us consider a variable x o express the inequality.

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

Combining the interval will be |x|>4

Graph:

Now, graph the interval on number line as shown:

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.1, Problem 63E

Here, 4and4 both the points are excluded from the interval so, open balls are placed for 4and4 on the number line.

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