Answer:
The solution in the attached figure
Step-by-step explanation:
we have
[tex]y>\frac{1}{4}x-3[/tex] ----> inequality A
The solution of the inequality A is the shaded area above the dashed line [tex]y=\frac{1}{4}x-3[/tex]
The slope of the dashed line is positive (m=1/4)
The y-intercept of the dashed line is (0,-3)
The x-intercept of the dashed line is (12,0)
[tex]y\geq -\frac{1}{2}x[/tex] -----> inequality B
The solution of the inequality B is the shaded area above the solid line [tex]y= -\frac{1}{2}x[/tex]
The slope of the solid line is negative (m=-1/2)
The x and y intercepts of the solid line is the origin
The solution of the system of inequalities is the shaded area above the dashed line and the solid line
using a graphing tool
see the attached figure
