Answer
$\frac{-3}{4}\lt x$
Work Step by Step
$5[3(2-3x)-2(5-x)]-6[5(x-2)-2(4x-3)]\lt3x+19\\5[6-9x-10+2x]-6[5x-10-8x+6]\lt3x+19\\5[-4-7x]-6[-3x-4]\lt3x+19\\-20-35x+18x+24\lt3x+19\\4-17x\lt3x+19\\4\lt20x+19\\-15\lt20x\\\frac{-3}{4}\lt x$
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 4 - Section 4.1 - Solving Linear Inequalities - Exercise Set - Page 262: 32
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