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 - Page 220: 51


f=8 or f=2

Work Step by Step

$4|f-5|=12\longrightarrow$ divide each side by 4 $4|f-5|\div4=12\div4\longrightarrow$ divide $|f-5|=3\longrightarrow$ definition of absolute value $f-5=3$ OR $f-5=-3\longrightarrow$ add 5 to all parts $f-5+5=3+5$ OR $f-5+5=-3+5\longrightarrow$ add $f=8$ OR $f=2$
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