Algebra 1

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

Chapter 6 - Systems of Equations and Inequalities - Get Ready: 12

Answer

$x\geq-18$

Work Step by Step

$\frac{1}{2}(x+6)+1\geq-5\longrightarrow$ multiply using distributive property $\frac{1}{2}x+3+1\geq-5\longrightarrow$ add $\frac{1}{2}x+4\geq-5\longrightarrow$ subtract 4 from each side $\frac{1}{2}x+4-4\geq-5-4\longrightarrow$ subtract $\frac{1}{2}x\geq-9\longrightarrow$ multiply each side by 2 $\frac{1}{2}x\times2\geq-9\times2\longrightarrow$ multiply $x\geq-18$
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