Blue line is
2x+y=8 and red line is
x+2y=10Now according to question we have to look over the region which
2x+y≥8andx+2y≥10 they intersect at point
(2,4)So for
x>2 region is above or on the line
x+2y=10and for
x<2 region is above or on the line
2x+y=8