Solve the following system of inequalities graphically
`x+2ylt=8` ...(1)
`2x+ylt=8` ...(2)
`xgeq0` ...(3)
`ygeq0` ...(4)

Explanation

The graphs of the lines `x + 2y = 8` and `2x + y = 8`.

The inequality (1) and (2) represent the region below the two lines, including the point on the respective lines.

Since `x ge 0, y ge 0`, every point in the shaded region in the first quadrant represents a solution of the given system of inequalities.