The feasible region is a quadrilateral lying entirely in the first quadrant and bounded by the x-axis, the y-axis, the solid line 2x+y=10, and the dashed line x+y=6. The region lies below both slant lines. Which system of inequalities correctly describes this feasible region?
a) ⎩⎨⎧x≥0,y≥0,2x+y≤10,x+y≤6
b) ⎩⎨⎧x≥0,y≥0,2x+y≤10,x+y<6
c) ⎩⎨⎧x≥0,y≥0,2x+y≥10,x+y<6
d) ⎩⎨⎧x≥0,y≥0,2x+y≤10,x+y>6