Algebra 1

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

Chapter 3 - Solving Inequalities - 3-5 Working with Sets - Mixed Review: 59

Answer

$t\leq5$

Work Step by Step

$2(t+2)-3t\geq-1\longrightarrow$ multiply using the distributive property $2t+4-3t\geq-1\longrightarrow$ combine like terms $-t+4\geq-1\longrightarrow$ subtract 4 from each side $-t+4-4\geq-1-4\longrightarrow$ subtract $-t\geq-5\longrightarrow$ multiply each side by -1; reverse the inequality sign $-t\times-1\leq-5\times-1\longrightarrow$ multiply $t\leq5$
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