Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]4x+y>1[/tex] -----> inequality A
The solution of the inequality A is the shaded area above the dashed line
The equation of the dashed line is [tex]4x+y=1[/tex]
The slope of the dashed line is negative
The y-intercept of the dashed line is the point [tex](0,1)[/tex]
The x-intercept of the dashed line is the point [tex](0.25,0)[/tex]
[tex]y\leq \frac{3}{2}x+2[/tex] -----> inequality B
The solution of the inequality B is the shaded area below the solid line
The equation of the solid line is [tex]y=\frac{3}{2}x+2[/tex]
The slope of the solid line is positive
The y-intercept of the solid line is the point [tex](0,2)[/tex]
The x-intercept of the solid line is the point [tex](-1.33,0)[/tex]
using a graphing tool
The graph in the attached figure
