Answer
$y\gt-3$
Work Step by Step
Using the properties of inequalities, the solution to the given inequality, $
-3(y-1)\lt12
,$ is
\begin{array}{l}\require{cancel}
(y-1)\gt\dfrac{12}{-3}
\\\\
y-1\gt-4
\\\\
y\gt-4+1
\\\\
y\gt-3
.\end{array}
Elementary Algebra
by Kaufmann, Jerome; Schwitters, Karen;
Published by
Cengage Learning
ISBN 10:
1285194055
ISBN 13:
978-1-28519-405-9
Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.5 - Inequalities, Compound Inequalities, and Problem Solving - Problem Set 4.5 - Page 175: 19
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