Answer
see graph
Work Step by Step
Using the intercepts and the tespoint $(0,0),$ the red graph is the graph of $
x+\dfrac{1}{2}y\ge-4
.$
The blue graph is the graph of $
y\le-2
.$ It is the area on and to the left of $y=-2.$
Using "or", then the solution set is the combined area of the red area and the blue area.