Answer
See graph
Work Step by Step
Given \begin{equation}
y \geq 0.5 x+6.
\end{equation} We graph $y=0.5x+6$. This is a linear function with no restriction on the domain. The domain is all real numbers. The intercepts are
\begin{equation}
\begin{aligned}
x&=0\implies y= 6 \\
y&= 0\implies x= -\frac{6}{0.5}= -12.
\end{aligned}
\end{equation} We graph the linear function. The graph is drawn with a solid line and shaded above the line because it is a "greater than and equal to" inequality. We take a test point, foe example $(0,0)$. The point $(0,0)$ does not check the equation, therefore the solution in the other region of the plane.
