Answer:
[tex]2x+y\geq c[/tex]
[tex]y\geq -2x+c[/tex]
Step-by-step explanation:
we know that
The solution of the inequality of the graph is the shaded area above the solid line
The slope of the solid line is negative
The y-intercept of the solid line is the point [tex](0,c)[/tex]
therefore
The inequalities represented by the graph are
case 1) [tex]2x+y\geq c[/tex]
isolate the variable y
[tex]y\geq -2x+c[/tex]
The solution of this inequality is the shaded area above the solid line
The slope of the solid line is negative [tex]m=-2[/tex]
The y-intercept of the solid line is the point [tex](0,c)[/tex] (value of y when the value of x is equal to zero)
case 2) [tex]y\geq -2x+c[/tex] ------> idem case 1)
