Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]x-4y<4[/tex] ----> inequality A
solve for y
[tex]-4y<-x+4[/tex]
[tex]4y>x-4[/tex]
[tex]y> (x/4)-1[/tex]
The solution of the inequality A is the shaded area above the dashed line
The slope of the dashed line is positive
The y-intercept is the point [tex](0,-1)[/tex]
The x-intercept is the point [tex](4,0)[/tex]
[tex]y< x+1[/tex] ----> inequality B
The solution of the inequality B is the shaded area below the dashed line
The slope of the dashed line is positive
The y-intercept is the point [tex](0,1)[/tex]
The x-intercept is the point [tex](-1,0)[/tex]
Using a graphing tool
The solution of the system of inequalities in the attached figure
