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: 19

Answer

$d\geq2$ or $d\lt2$
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Work Step by Step

$4d+5\geq13\longrightarrow$ subtract 5 from each side $4d+5-5\geq13-5\longrightarrow$ subtract $4d\geq8\longrightarrow$ divide each side by 4 $4d\div4\geq8\div4\longrightarrow$ divide $d\geq2$ or $7d-2\lt12\longrightarrow$ add 2 to each side $7d-2+2\lt12+2\longrightarrow$ add $7d\lt14\longrightarrow$ divide each side by 7 $7d\div7\lt14\div7\longrightarrow$ divide $d\lt2$ Since d is either less than, equal to, or greaater than 2, the solution set for d is all real numbers.
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