Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 9 - Inequalities and Problem Solving - 9.2 Intersections, Unions, and Compound Inequalities - 9.2 Exercise Set - Page 592: 117

Answer

$$ (-\infty, -7), (-7,.75]$$

Work Step by Step

We know that the denominator must not be 0. Thus, $x$ cannot be equal to -7. We know that the numerator must be positive, so $x$ must be less than or equal to .75. In interval notation, this is: $$ (-\infty, -7), (-7,.75]$$
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