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 - Page 190: 43


$2\frac{1}{6}\geq k$

Work Step by Step

$17-(4k-2)\geq2(k+3)\longrightarrow$ multiply using the distributive property $17-4k+2\geq2k+6\longrightarrow$ combine like terms $19-4k\geq2k+6\longrightarrow$ add 4k to each side $19-4k+4k\geq2k+6+4k\longrightarrow$ add $19\geq6k+6\longrightarrow$ subtract 6 from each side $19-6\geq6k+6-6\longrightarrow$ subtract $13\geq6k\longrightarrow$ divide each side by 6 $13\div6\geq6k\div6\longrightarrow$ divide $2\frac{1}{6}\geq k$
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