`x + y le 6, x + y le 4`

Answer

N/a

Explanation

First inequation : `x + y le 6`
Corresponding equation : `x + y = 6 `

This line passes through the points A(6, 0) and B (0, 6) . Join AB. At point (0, 0) , from the inequation, `0 le 6` (True) `,.` Solution of this inequation is that region of XY-plane divided by line AB in which (0, 0) lies.
Second inequation : `x + y ge 4`
Corresponding equation : `x + y = 4`
This line passes through the points C(4, 0) and D(0, 4). Join CD.
At point (0, 0) , from the inequation, `-ge 4` (False) `:.` The solution of this inequation is that region of XY-place divided by line CD in which (0, 0) does not lie.
The common solution of two inequation is shown by the shaded region.