`x + 2y le 10, x + y ge 1, x-y le 0, x ge 0, yge 0`

Answer

N/a

Explanation

First inequation : `x + 2y le 10`
Corresponding equation : `x + 2y = 10`
This line passes through the points A(10, 0) and B(0, 5). Join AB.
At point (0, 0) , from the inequation, 0le10 (True)
`:.`The Solution of this inequation is that region of XY-plane divided by line AB in which (0, 0) lie.
Second inequation : ` x + y ge 1`
Corresponding equation: `x + y =1`
This line passes through the points C(1, 0) and D(0, 1). join CD.
At point (0, 0), From the inequation, `0 ge 1` (False)
`:.` The solution of this inequation is that region of XY-plane divided by line AB in which (0, 0) lie.
Third inequation : `x- y le 0`
Corresponding inequation : `x - y = 0`
This line passes through the points O(0, 0) and E(2, 2) . Join OE.
At point (1, 0 ), from the inequation, `1 ge 0` (False)
`:,` The solution of this inequation is that region of XY-plane divided by line OE in which (1, 0) does not lie.
The solution of x`ge` 0, y `ge` 0 is in first quadrant

`:.` The solution of given inequation is shown by the shaded region.