Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]y> \frac{1}{4}x+6[/tex] ------>inequality A
The solution of the inequality A is the shaded area above the dashed line [tex]y=\frac{1}{4}x+6[/tex]
The y-intercept of the dashed line is (0,6)
The x-intercept of the dashed line is (-24,0)
The slope of the dashed line is positive m=1/4
[tex]y> 2x-1[/tex] ------>inequality B
The solution of the inequality B is the shaded area above the dashed line [tex]y=2x-1[/tex]
The y-intercept of the dashed line is (0,-1)
The x-intercept of the dashed line is (0.5,0)
The slope of the dashed line is positive m=2
The solution of the system of inequalities is the shaded area between the two dashed lines
using a graphing tool
see the attached figure
