Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 3 - Solving Inequalities - Chapter Review - 3-7 Absolute Value Equations and Inequalities - Page 226: 55

Answer

$x<3$ or $x>4$

Work Step by Step

$abs (2x-7) -1 > 0 $ $abs (2x - 7) -1 +1 > 0 + 1$ $abs (2x - 7) > 1$ $2x - 7 > 1$ or $2x - 7 < -1$ $2x - 7 > 1$ $2x - 7 + 7 > 1 + 7$ $2x > 8$ $2x/2 > 8/2$ $x > 4 $ $2x - 7 < -1$ $2x - 7 +7 < -1 +7$ $2x < 6$ $2x/2 < 6/2$ $x < 3$
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