Algebra 1

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

Chapter 3 - Solving Inequalities - 3-6 Compound Inequalities - Practice and Problem-Solving Exercises - Page 205: 34

Answer

$(-\infty, -1]\ or\ (25, \infty)$

Work Step by Step

$12h-3\geq15h\longrightarrow$ subtract 12h from each side $12h-3-12h\geq15h-12h\longrightarrow$ subtract $-3\geq3h\longrightarrow$ divide each side by 3 $-3\div3\geq3h\div3\longrightarrow$ divide $-1\geq h$ OR $5\gt-0.2h+10\longrightarrow$ subtract 10 from each side $5-10\gt-0.2h+10-10\longrightarrow$ subtract $-5\gt-0.2h\longrightarrow$ divide each side by -0.2; reverse the inequality sign $-5\div-0.2\lt-0.2h\div-0.2\longrightarrow$ divide $25\lt h$
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