Answer:
Option F. [tex]y\geq x+b[/tex]
Step-by-step explanation:
we know that
The solution of the inequality of the graph is the shaded area above the solid line
step 1
Find the equation of the solid line
The intercepts are
The y-intercept is the point (0,b)
The x-intercept is the point (-b,0)
Find the slope
[tex]m=\frac{b-0}{0+b} =1[/tex]
The equation of the solid line is
[tex]y=x+b[/tex]
step 2
The solution of the inequality is the shaded area above the solid line
therefore
the inequality is equal to
[tex]y\geq x+b[/tex]
