## Algebra 1

$x\geq-18$
$\frac{1}{2}(x+6)+1\geq-5\longrightarrow$ multiply using distributive property $\frac{1}{2}x+3+1\geq-5\longrightarrow$ add $\frac{1}{2}x+4\geq-5\longrightarrow$ subtract 4 from each side $\frac{1}{2}x+4-4\geq-5-4\longrightarrow$ subtract $\frac{1}{2}x\geq-9\longrightarrow$ multiply each side by 2 $\frac{1}{2}x\times2\geq-9\times2\longrightarrow$ multiply $x\geq-18$