Algebra 1

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

Chapter 3 - Solving Inequalities - 3-8 Unions and Intersections of Sets - Mixed Review: 55

Answer

$w\lt-15$ OR $w\gt9$

Work Step by Step

$|2w+6|\gt24\longrightarrow$ write a compound inequality $2w+6\lt-24$ OR $2w+6\gt24\longrightarrow$ subtract 6 from all parts $2w+6-6\lt-24-6$ OR $2w+6-6\gt24-6\longrightarrow$ subtract $2w\lt-30$ OR $2w\gt18\longrightarrow$ divide all parts by 2 $2w\div2\lt-30\div2$ OR $2w\div2\gt18\div2\longrightarrow$ divide $w\lt-15$ OR $w\gt9$
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