Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 11 - Section 11.4 - Nonlinear Inequalities in One Variable - Exercise Set - Page 798: 22

Answer

$(-4, -3)$

Work Step by Step

$-2/(y+3)>2$ Denominator is zero when $y=-3$ $-2/(y+3)>2$ $-2*(y+3)/(y+3)>2*(y+3)$ $-2 > 2y+6$ $-8 > 2y$ $-8/2 > 2y/2$ $y < -4$ (-infinity, $-4)$ $(-4, -3)$ $(-3$, infinity) Let $y=-10$, $y=-3.5$, $y=10$ $y=-10$ $-2/(y+3)>2$ $-2/(-10+3)>2$ $-2/(-7)>2$ $2/7 > 2$ (false) $y=-3.5$ $-2/(y+3)>2$ $-2/(-3.5+3)>2$ $-2/(-.5)>2$ $4 > 2$ (true) $y=10$ $-2/(y+3)>2$ $-2/(10+3)>2$ $-2/(13)>2$ $-2/13 > 2 (false)
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