Answer:
Let x be the number of guest and y be the quantity of meat,
According to the question,
![y\geq (x)/(3)-2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/smi8snh8uwdy3mr1ng9jumg7zosmplg34h.png)
Since, the related equation of the above inequality,
![y=(x)/(3)-2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jejs06i68yi1mkvluh90liutgcyo6d2s4w.png)
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 ).