Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]y\leq -4x-4[/tex] ----> inequality A
The solution of the inequality A is the shaded area below the solid line [tex]y=-4x-4[/tex]
The y-intercept of the solid line is -4
The x-intercept of the solid line is -1
The slope of the solid line is negative
[tex]y\geq x+2[/tex] ----> inequality B
The solution of the inequality B is the shaded area above the solid line [tex]y=x+2[/tex]
The y-intercept of the solid line is 2
The x-intercept of the solid line is -2
The slope of the solid line is positive
The solution of the system of inequalities is the shaded area between the two solids line
see the attached figure