Algebra 1

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

Chapter 3 - Solving Inequalities - 3-4 Solving Multi-Step Inequalities - Practice and Problem-Solving Exercises - Page 190: 22



Work Step by Step

$-4(d+5)-3d\gt8$ $\longrightarrow$ multiply using the distributive property $-4d-20-3d\gt8$ $\longrightarrow$ combine like terms $-7d-20\gt8$ $\longrightarrow$ add 20 to both sides $-7d-20+20\gt8+20$ $\longrightarrow$ simplify $-7d\gt28$ $\longrightarrow$ divide both sides by -7; reverse the inequality sign $-7d\div-7\lt28\div-7$ $d\lt-4$ Check the inequality. $-4(-5+5)-3(-5)\gt8$ $-4(0)+15\gt8$ $15\gt8\checkmark$
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