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: 42

Answer

$n\geq1$

Work Step by Step

$4(3n-1)\geq2(n+3)\longrightarrow$ multiply using the distributive property $12n-4\geq2n+6\longrightarrow$ subtract 2n from each side $12n-4-2n\geq2n+6-2n\longrightarrow$ subtract $10n-4\geq6\longrightarrow$ add 4 to each side $10n-4+4\geq6+4\longrightarrow$ add $10n\geq10\longrightarrow$ divide each side by 10 $10n\div10\geq10\div10\longrightarrow$ divide $n\geq1$
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