Algebra 1

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

Chapter 3 - Solving Inequalities - Mid-Chapter Quiz - Page 193: 21


$3\frac{1}{5}\geq m$

Work Step by Step

$-3(4-m)\geq2(4m-14)\longrightarrow$ multiply using the distributive property $-12+3m\geq8m-28\longrightarrow$ add 28 and subtract 3m from each side $-12+3m+28-3m\geq8m-28+28-3m\longrightarrow$ combine like terms $16\geq5m\longrightarrow$ divide each side by 5 $16\div5\geq5m\div5\longrightarrow$ divide $3\frac{1}{5}\geq m$
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