Question

What is the system of inequalities associated with the following graph?A. x+y≤2B. x+y<2C.x+yD.x+y>2

Answer 1

From the figure, to find the system of inequalities associated with it:

Since the intercepts x and y are, (2,0) and (0,2)

So, the equation of the line is,

$x+y=2$

Since the shaded area is located above the solid line,

Therefore, the inequality is

$x+y\ge2$

Hence, the correct option is C.