Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 1 - Summary Exercises - Reviewing a Chapter - Solving Linear and Absolute Value Equations and Inequalities: 43

Answer

the set of all real numbers

Work Step by Step

Using the properties of equality, the given equation, $ 8x-(1-x)=3(1+3x)-4 ,$ is equivalent to \begin{array}{l}\require{cancel} 8x-1+x=3+9x-4 \\\\ 8x+x-9x=3-4+1 \\\\ 0=0 \text{ (TRUE)} .\end{array} Since the solution above ended with a TRUE statement, then the given equation is an identity. Hence, the solution is $\text{ the set of all real numbers }.$
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