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: 27


$(-\infty, -1]$ Refer to the attached image below for the graph.

Work Step by Step

The given inequality can be written as $\\4-3x \le -1(1+8x)$ Distribute $-1$ to have: $\\4-3x \le -1 -8x$ Add $8x$ to both sides to have: $\\4-3x+8x \le -1-8x+8x \\4+5x \le -1$ Subtract 4 to both sides to have: $\\4+5x-4 \le -1 - 4 \\5x \le -5$ Divide 5 to both sides to have: $x \le -\frac{5}{5} \\x \le -1$
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