Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 3 - Solving Inequalities - 3-6 Compound Inequalities - Practice and Problem-Solving Exercises - Page 204: 20


$c\gt6$ or $c\leq3$

Work Step by Step

$7-c\lt1\longrightarrow$ subtract 7 from each side $7-c-7\lt1-7\longrightarrow$ subtract $-c\lt-6\longrightarrow$ multiply each side by -1; reverse the inequality sign $-c\times-1\gt-6\times-1\longrightarrow$ multiply $c\gt6$ or $4c\leq12\longrightarrow$ divide each side by 4 $4c\div4\leq12\div4\longrightarrow$ divide $c\leq3$
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