Answer:
Let x be the number of guest and y be the quantity of meat,
According to the question,
![y\geq \frac{x}{3}-2](https://tex.z-dn.net/?f=y%5Cgeq%20%5Cfrac%7Bx%7D%7B3%7D-2)
Since, the related equation of the above inequality,
![y=\frac{x}{3}-2](https://tex.z-dn.net/?f=y%3D%5Cfrac%7Bx%7D%7B3%7D-2)
Having x-intercept = (6,0),
y-intercept = (0,-2)
Also,'≥' shows the solid line,
Now, 0 ≥ 0/3 - 2 ( true )
Hence, the shaded region of above inequality will contain the origin,
Therefore, by the above information we can plot the graph of the inequality ( shown below ).