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: 28

Answer

$(-\infty, 11]$ Refer to the attached image below for the graph.
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Work Step by Step

Distribute 2 to have: $\\14x-6 \le 12x+16$ Subtract $12x$ to both sides to have: $\\14x-6-12x \le 12x+16-12x \\2x-6 \le 16$ Add 6 to both sides to have: $2x-6+6 \le 16 + 6 \\2x \le 22$ Divide 2 to both sides to have: $\\x \le \frac{22}{2} \\x \le 11$
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