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: 19

Answer

The solution is $\Big(-\infty,-\dfrac{1}{2}\Big)$

Work Step by Step

$2x+1\lt0$ Take the $1$ to the right side of the inequality: $2x\lt-1$ Take the $2$ to divide the right side: $x\lt-\dfrac{1}{2}$ Express using interval notation: The solution is $\Big(-\infty,-\dfrac{1}{2}\Big)$
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