Question

Find the graphical solution of the following system of linear inequations:
2x + y ≥ 8, x + 2y ≥ 10, x ≥ 0, y ≥ 0

Answer 1

Writing the above inequalities as equations
2x + y = 8

x	0	4
y	8	0
(x, y)	(0, 8)	(4, 0)

x + 2y = 10

x	0	10
y	5	0
(x, y)	(0, 5)	(10, 0)

The inequality 2x + y ≥ 8 represents the region above the line, including the points on the line 2x + y = 8
The inequality x + 2y ≥ 10 represents the region above the line, including the points on the line x + 2y = 10 
Since x ≥ 0; y ≥ 0, all points in the shaded region represents solution of the given system of inequalities.