Which of the following systems of inequalities would produce

Which of the following systems of inequalities would produce the region indicated on the graph below?

Solution

first find the equation of two lines in the graph:

one line is y = x+2 and y = -x +4

So, y = -x+4 has feasible region below the line : y <= -x +4

y = x+2 also has feasible region below the line : y <= x+2

And x>=0 and y >=0 as region is Ist quadrant

Option B