Answer:
See attachment
Step-by-step explanation:
To graph
[tex]y \: < \: \frac{1}{4} x[/tex]
You first graph the boundary line
[tex]y = \frac{1}{4} x[/tex]
This is a dashed line going through the origin with slope 1/4.
We test the point (0,1) to get: 1<0 which is false. So we shade the lower half-plane.
To graph
[tex]y \: < \: - 6x + 6[/tex]
We first graph line
[tex]y = - 6x + 6[/tex]
By plotting (0,6), and (1,0)
We draw a dashed boundary line.
We test the origin:
0<6 which is true so we shade the left half-plane .
The intersection of both shaded regions represent the solution set.
The graph us shown in attachment.
