Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 3 - Solving Inequalities - Chapter Test - Page 227: 19

Answer

$k = -\frac{9}{4}$ or $k = \frac{13}{4}$

Work Step by Step

To get rid of the absolute value sign, we have to make up two equations: $4k - 2 = -11$ or $4k - 2 = 11$ Add $2$ to each side of the equation: $4k = -9$ or $4k = 13$ Divide each side by $4$ to solve for $k$: $k = -\frac{9}{4}$ or $k = \frac{13}{4}$
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