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 204: 18


$m\gt-1$ or $m\lt-5$

Work Step by Step

$5+m\gt4\longrightarrow$ subtract 5 from each side $5+m-5\gt4-5\longrightarrow$ subtract $m\gt-1$ OR $7m\lt-35\longrightarrow$ divide each side by 7 $7m\div7\lt-35\div7\longrightarrow$ divide $m\lt-5$ Since -1 and -5 are not included in the solution sets, the endpoints on the graph are open circles.
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