`2x + y ge 8, x + 2y ge 10`

Answer

N/a

Explanation

First inequation : `2x + y ge 8`
Corresponding equation : `2x + y = 8`
This line passes through the point A(4, 0) and B(0, 8). Join AB. At point (0, 0), from the inequation, `0ge 8` (False)
`:.` The solution of this inequation is that region of XY-plane divided by line AB in which (0, 0) does not lie.
Second inequation : `x + 2y ge 10`
Corresponding equation: `x + 2y = 10`
This line passes through the points A(4, 0) and B(0, 8). Join AB .
This point (0, 0), from the inequation is that region of XY-plane divided by line AB in which (0, 0) does not lie .
This line passes through the points C (10, 0) and D (0, 5) . Join CD.
At point (0, 0), from the inequaton, `0 ge 10` (False)
`:.` The Solution of this inequation of this inequation is that region of XY-plane divided by line CD in which (0, 0) does not lie.

the common solution of two inequations is shown by the shaded region.