Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 2 - Section 2.4 - Linear Inequalities and Problem Solving - Exercise Set - Page 85: 34


$(\frac{9}{2}, ∞)$

Work Step by Step

$-2(4x+2) \gt -5[1+2(x-1)]$ Apply distributive property, $-8x-4 \gt -5[1+2x-2]$ $-8x-4 \gt -5[2x-1]$ $-8x-4 \gt -10x+5$ Add $4 $ on both sides. $-8x-4 +4\gt -10x+5+4$ $-8x \gt -10x+9$ Add $10x $ on both sides. $-8x+10x \gt -10x+9+10x$ $2x \gt 9$ Divide by $2$ on both sides. $x \gt \frac{9}{2}$ Interval Notation : $(\frac{9}{2}, ∞)$
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