5x+2y>19
x+y>=5
We have to graph each inequality:
First, express them in slope-intercept form:
y=mx+b
Where:
m= slope
b= y intercept
5x+2y>19
2y>19-5x
y> (19-5x)/2
y> -5/2x +9.5
x+y ≥ 5
y≥-x+5
So, we have the equations:
y> -5/2x +9.5
y≥-x+5
Graph:
The solution to the system is the intersection of both areas (blue and red)
The only point that is inside the solution it's c. (5.5)