Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 2 - Functions, Equations, and Graphs - Get Ready!: 26

Answer

$a$ $\leq$ $0$
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Work Step by Step

$|2a-1|$ $\geq$ $2a+1$ Rewrite as a compound inequality: $2a-1$ $\geq$ $2a+1$ or $2a-1$ $\leq$ $-2a-1$. Work through the first equation in the compound inequality by subtracting $2a$ from both sides: $2a-1$ $\geq$ $2a+1$ $-1$ $\geq$ $1$. Use the second equation since the first has no solution. Work through the second equation by adding $2a$ and $1$ to both sides: $2a-1$ $\leq$ $-2a-1$ $4a$ $\leq$ $0$. Now divide by $4$ $a$ $\leq$ $0$.
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