Algebra 1

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

Chapter 3 - Solving Inequalities - 3-6 Compound Inequalities - Lesson Check - Page 204: 2

Answer

$1\leq r \lt4$
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Work Step by Step

$-4\leq r-5\lt-1\longrightarrow$ add 5 to each of the 3 parts $-4+5\leq r-5+5\lt-1+5\longrightarrow$ add $1\leq r \lt4$ The endpoint is a solid circle at 1 to indicate that it is included in the solution, and there is an open circle at 4 to indicate it is not included in the solution.
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