Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 1, Equations and Inequalities - 1.7 Solve Absolute Value Equations and Inequalities - 1.7 Exercises - Problem Solving - Page 57: 78a

Answer

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Work Step by Step

CASE 1: Mild type: $|x+1.5| \lt 1.5$ $x+1.5 \lt 1.5$ or $ x+1.5\gt -1.5$ $x \lt0$ or $x\gt -3 $ $-3 \lt x \lt 0$ Moderate type: $|x+4.5| \lt 1.5$ $x+4.5 \lt 1.5$ or $ x+4.5\gt -1.5$ $x \lt -3$ or $x\gt -6 $ $-6 \lt x \lt -3$ Severe type: $|x+7.5| \lt 1.5$ $x+7.5 \lt 1.5$ or $ x+7.5\gt -1.5$ $x \lt -6$ or $x\gt -9 $ $-9 \lt x \lt -6$ CASE 2: Mild type: $|x-1| \lt 1$ $x-1 \lt 1$ or $x-1 \gt- 1$ $x \lt 2$ or $x\gt0 $ $0 \lt x \lt 2$ Moderate type: $|x-3| \lt 1$ $x-3 \lt 1$ or $x-3 \gt- 1$ $x \lt 4$ or $x\gt2 $ $2 \lt x \lt 4$ Severe type: $|x-5| \lt 1$ $x-5 \lt 1$ or $x-5 \gt- 1$ $x \lt 6$ or $x\gt4 $ $4 \lt x \lt 6$
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