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: 40


$4.4\geq t$

Work Step by Step

$-2(0.5-4t)\geq-3(4-3.5t)\longrightarrow$ multiply using the distributive property $-1+8t\geq-12+10.5t\longrightarrow$ subtract 8t from each side $-1+8t-8t\geq-12+10.5t-8t\longrightarrow$subtract $-1\geq-12+2.5t\longrightarrow$ add 12 to each side $-1+12\geq-12+2.5t+12\longrightarrow$ add $11\geq2.5t\longrightarrow$ divide each side by 2.5 $11\div2.5\geq2.5t\div2.5\longrightarrow$ divide $4.4\geq t$
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