Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Review Exercises - Page 432: 89

Answer

$[-1,1)\cup[2,\infty)$
1582730301

Work Step by Step

Step 1. Based on the given inequality $\frac{(x+1)(x-2)}{x-1}\geq0$, we can identify the boundary points as $x=-1,1,2$ Step 2. Using the test points to examine the signs of the left side across the boundary points, we have $...(-)...(-1)...(+)...(1)...(-)...(2)...(+)...$ thus the solutions are $[-1,1)\cup[2,\infty)$ Step 3. We can graph the solution on a real number line as shown in the figure.
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