College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Chapter 1 Review - Exercises - Page 171: 104


$x=\left\{-10, -6, 0, 4\right\}$ Refer to the image below for the graph.

Work Step by Step

To solve the given equation graphically, perform the following steps: (1) Let each side of the equation represent a function then graph each function on the same coordinate plane. Graph $y=||x+3|-5|$ (the blue graph) and $y=2$ (the red graph). (refer to the attached image in the answer part above for the graph) (2) Identify the point/s where the two graphs intersect. The x-coordinate of point of intersection is a solution of the given equation. The graphs intersect at $(-10, 2)$, $(-6, 2)$, $(0, 2)$, and $(4, 2)$. Therefore, the solutions to the given equation are: $x=\left\{-10, -6, 0, 4\right\}$
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