Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 3 - Solving Inequalities - 3-6 Compound Inequalities - Practice and Problem-Solving Exercises - Page 205: 38

Answer

r>3.5 or r≤−2

Work Step by Step

4r−3>11⟶ using the addition property of inequality, add 3 to each side 4r−3+3>11+3⟶ add 4r>14⟶ using the division property of inequality, divide each side by 4 4r÷4>14÷4⟶ divide r>3.5 OR 4r−3≤−11⟶ using the addition property of inequality, add 3 to each side 4r−3+3≤−11+3⟶ add 4r≤−8⟶ using the division property of inequality, divide each side by 4 4r÷4≤−8÷4⟶ divide r≤−2
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