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: 37

Answer

$t\geq1\frac{4}{5}$

Work Step by Step

$3(2+t)\geq15-2t\longrightarrow$ multiply using the distributive property $6+3t\geq15-2t\longrightarrow$ add 2t to each side $6+3t+2t\geq15-2t+2t\longrightarrow$ add $6+5t\geq15\longrightarrow$ subtract 6 from each side $6+5t-6\geq15-6\longrightarrow$ subtract $5t\geq9\longrightarrow$ divide both sides by 5 $5t\div5\geq9\div5\longrightarrow$ divide $t\geq1\frac{4}{5}$
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