`4x + 3y le 60, y ge 2x, x ge 3, x, y ge 0`

Answer

N/a

Explanation

First inequation :` 4x + 3y le 60`
Corresponding equation : `4x + 3y = 60`
This line passes through the points A (15, 0) and B (0, 20). Join AB.
At point (0, 0) from the inequation, `0le60` (True) The solution of this inequation is that region of XY-plane divided by line AB in which (0, 0) lies.
Seond inequation : `yge2x`
Corresponding equation: `y = 2x`
This line passes through the points O(0, 0) and C(5, 10) Join OC.
At point (5, 0), from the inequation, `0 ge 10` (False)
The solution of this inequation is that region of XY-plane divided by line OC in which (5, 0) does not lie.
The solution of `xge 3 is x = 3` and its right side.
The solution of `y ge 0 is y = 0 ` and its above.
The common solution of given inequation is shown by the shaded region.