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 1.7, Problem 97E
To determine

To find:an inequality involving an absolute value that describes the sets.

Expert Solution

Answer to Problem 97E

  x3 .

Explanation of Solution

Given:

A set of real number is graphed on the number line:

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.7, Problem 97E , additional homework tip  1

Concept used:

Properties of absolute value inequalities:

    Inequality Equivalent formGraph
    |x|<cc<x<cPrecalculus: Mathematics for Calculus - 6th Edition, Chapter 1.7, Problem 97E , additional homework tip  2
    |x|ccxcPrecalculus: Mathematics for Calculus - 6th Edition, Chapter 1.7, Problem 97E , additional homework tip  3
    |x|>cx<c or c<xPrecalculus: Mathematics for Calculus - 6th Edition, Chapter 1.7, Problem 97E , additional homework tip  4
    |x|cxc or cxPrecalculus: Mathematics for Calculus - 6th Edition, Chapter 1.7, Problem 97E , additional homework tip  5

Calculation:

According to the properties of absolute value inequalities, theequivalent form of the given set of real number is

  2x4{add 1 on both the sides}3x3x3

Therefore, the inequality is x3 .

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!