## Algebra 2 Common Core

$a$ $\leq$ $0$
$|2a-1|$ $\geq$ $2a+1$ 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 $4$ $a$ $\leq$ $0$.