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: 41

Answer

$a\geq\frac{1}{2}$

Work Step by Step

$4(a-2)-6a\leq-9\longrightarrow$ multiply using the distributive property $4a-8-6a\leq-9\longrightarrow$ combine like terms $-2a-8\leq-9\longrightarrow$ add 8 to each side $-2a-8+8\leq-9+8\longrightarrow$ add $-2a\leq-1\longrightarrow$ divide both sides by -2; reverse the inequality sign $-2a\div-2\geq-1\div-2\longrightarrow$ divide $a\geq\frac{1}{2}$
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