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 - Lesson Check: 2

Answer

$t\leq5$

Work Step by Step

$2(t+2)-3t\geq-1$ $\longrightarrow$ multiply according to the distributive property $2t+4-3t\geq-1$ $\longrightarrow$ combine like terms $-t+4\geq-1$ $\longrightarrow$subtract 4 from both sides $-t+4-4\geq-1-4$ $\longrightarrow$ simplify $-t\geq-5$ $\longrightarrow$ multiply both sides by -1; reverse the inequality sign $-t(-1)\leq-5(-1)$ $\longrightarrow$ simplify $t\leq5$
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