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: 38

Answer

$r\gt3.5$ or $r\leq-2$

Work Step by Step

$4r-3\gt11\longrightarrow$ using the addition property of inequality, add 3 to each side $4r-3+3\gt11+3\longrightarrow$ add $4r\gt14\longrightarrow$ using the division property of inequality, divide each side by 4 $4r\div4\gt14\div4\longrightarrow$ divide $r\gt3.5$ OR $4r-3\leq-11\longrightarrow$ using the addition property of inequality, add 3 to each side $4r-3+3\leq-11+3\longrightarrow$ add $4r\leq-8\longrightarrow$ using the division property of inequality, divide each side by 4 $4r\div4\leq-8\div4\longrightarrow$ divide $r\leq-2$
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