Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 1 - Expressions, Equations, and Inequalities - 1-6 Absolute Value Equations and Inequalities - Practice and Problem-Solving Exercises - Page 46: 14

Answer

no real solution

Work Step by Step

The left side of the given equation, $ |3x+4|=-3 ,$ is a nonnegative number for any real value of $x.$ This is because taking the absolute value of a number will either result to $0$ or some positive value. This value at the left will never be equal to the negative value at the right. Hence, there is no real value of $x$ that satisfies the original equation. Therefore, there is no real solution.
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