Exhibit graphically the solution set of the system of lineear inequations `x+yge1,7x+9yle63,y le5,xle6,x ge0andyge0.`

Explanation

`x+y=1` meets the axes at `A(1,0) and B(0,1).` Join these points by a thick line. Clearly, the portion not containing `O(0,0)` is the solution set of `x+yge1. 7x+9y=63impliesx/9+y/7=1.`
This line meets the aces at `C(9,0)and D(0,7).` Join these points by a thick line. Clearly, the portion containing (0,0) is the solution set of `7x+9yle63.`
y=5 is aline parallel to the x-axis at a distance 5 from the x-axis and the portion containing O(0,0) is the solution set of the inequation `y le5.`
x=6 is a line parallel to the y-axis and the portion containing (0,0) is the solution set of `x le6.`

Clearly, `x ge0` has a solution represented by the y-axis and the portion on its right. Also, `y ge 0` has a solution represented by the x-axis and teh protion above it.
The shaded region represents the solution set of the given system of inequations.