Answer:
The graph of system of inequalities is shown below.
Step-by-step explanation:
The given system of inequalities is
[tex]y>\frac{1}{4}x+6[/tex] .... (1)
[tex]y>2x-1[/tex] ... (2)
The slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
The related equation of first inequality is
[tex]y=\frac{1}{4}x+6[/tex]
The slope of this line is 1/4 and y-intercept is 6.
The related equation of second inequality is
[tex]y=2x-1[/tex]
The slope of this line is 2 and y-intercept is -1.
The sign of inequalities is >, it means the related line is a dotted line and shaded region lies above the line.
Common shaded region represents the solution set.