   Chapter 1.2, Problem 77E

Chapter
Section
Textbook Problem

In Exercises 73-78, suppose that a and b are real numbers other than zero and that a > b. State whether the inequality is true or false for all real numbers a and b.77. a3 > b3

To determine

To check: Whether the statement a3>b3  is true or false.

Explanation

Given:

The numbers a and b are real other than zero with the inequality a>b .

Calculation:

The given statement is,

a3>b3

Subtract b3 from both sides of above inequality.

a3b3>b3b3a3b3>0(ab)(a2+ab+b2)>0[DifferenceofcubesA3B

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find f. f(u)=u2+uu,f(1)=3

Single Variable Calculus: Early Transcendentals, Volume I

In Exercises 1728, use the logarithm identities to obtain the missing quantity.

Finite Mathematics and Applied Calculus (MindTap Course List)

Insert the proper sign (,=,or) to replace each . (a) 3.14 (b) 1000.1 (c) 312

Mathematical Applications for the Management, Life, and Social Sciences 