Intermediate Algebra (12th Edition)

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

Chapter 1 - Review Exercises: 8

Answer

identity; the set of all real numbers

Work Step by Step

Using the properties of equality, the given equation, $ 5+3(2x+6)=5+3(2x+6) ,$ is equivalent to \begin{array}{l}\require{cancel} 5+6x+18=5+6x+18 \\\\ 6x-6x=5+18-5-18 \\\\ 0=0 \text{ (TRUE)} .\end{array} Since the solution above ended with a TRUE statement, then the given equation is an identity. The solution is $\text{ the set of all real numbers }.$
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