Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.8 - Inequalities - 1.8 Exercises - Page 89: 32

Answer

$(-1, 4]$ Refer to the attached image below for the graph.
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Work Step by Step

Subtract 4 to each part to have: $\\1-4 \lt 3x+4-4 \le 16-4 \\-3 \lt 3x \le 12$ Divide 3 to each part to have: $\\-1 \lt x \le 4$ Thus, the solution is $(-1, 4]$.
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