Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]x-2y\geq 4[/tex]
Isolate the variable y
[tex]x-4\geq 2y[/tex]
[tex](x-4)/2\geq y[/tex] ------> rewrite ------> [tex]y\leq \frac{x-4}{2}[/tex]
we know that
The solution is the shaded area below the solid line
The slope of the line is positive [tex]m=1/2[/tex]
The equation of the line is [tex]y=\frac{x-4}{2}[/tex]
The y-intercept of the line is the point [tex](0,-2)[/tex]
The x-intercept of the line is the point [tex](4,0)[/tex]
Plot the inequality
see the attached figure
