The system of inequalities that represents this situation are
x + y ≤ 40 and x ≤ 12.
Here, x = Number of carnation bouquets
y = Number of daisy bouquets
From the system of inequalities,
In the first case.
The local florist has never more than a combined total of 40 daisy bouquets, so according to this statement the following equation will be:
x + y ≤ 40.
Again in the second case.
The local florist has never more than a 12 carnation bouquets, so according to this statement the following equation will be:
x ≤ 12.
Therefore, the system of inequalities that represents this situation are
x + y ≤ 40 and x ≤ 12.
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