Algebra 1

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

Chapter 3 - Solving Inequalities - 3-4 Solving Multi-Step Inequalities - Practice and Problem-Solving Exercises: 12

Answer

$p\leq5$

Work Step by Step

$6-3p\geq-9$ $\longrightarrow$ subtract 6 from both sides $6-3p-6\geq-9-6$ $\longrightarrow$ simplify $-3p\geq-15$ $\longrightarrow$ divide both sides by -3; reverse the inequality sign $-3p\div-3\leq-15\div-3$ $\longrightarrow$ simplify $p\leq5$ Check the endpoint. $6-3(5)=-9$ $6-15=-9$ $-9=-9\checkmark$ Check the inequality. $6-3(0)\geq-9$ $6-0\geq-9$ $6\geq-9\checkmark$
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