Find the linear equations for which the shaded area in Fig: 15.39 is the solution set.

Explanation

To find the inequation we see if the shaded region and Origin are on the same side of the line or not.




So,
Considering the line 2x+3y=6, we find that the shaded region and the origin (0,0) are on the opposite side of this line and (0,0) does not satisfy the inequation2x+3y≥6 So, the first inequation is 2x+3y≥6



Considering the line 4x+6y=24, we find that the shaded region and the origin (0,0) are on the same side of this line and (0,0) satisfies the inequation 4x+6y≤24 So, the corresponding inequation is 4x+6y≤24



...