Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Appendix A - Numbers, Inequalities, and Absolute Values - A Exercises - Page A9: 26


$(-\infty,-3/2)$ U $[1,\infty)$

Work Step by Step

Simplify the expression on one side $(2x+3)(x-1)\geq0$ Identify key numbers by equating to zero $(2x+3)=0$ $(x-1)=0$ $x=3/2$ $x=1$ Assign a test for each interval (to determine the sign) $(-\infty,-3/2)$ U $[1,\infty)$
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