Answer
$x\geq-18$
Work Step by Step
$\frac{1}{2}(x+6)+1\geq-5\longrightarrow$ 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
$x\geq-18$
